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Finding the Fourth Proportional to 1,758,238,978.70, 2,637,358,468.05 and 723,842,216.30

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Solution

The fourth proportional to 1,758,238,978.70, 2,637,358,468.05 and 723,842,216.30 is: 1,085,763,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758,238,978.70 : 2,637,358,468.05 = 723,842,216.30 : x
  2. Step 2: Convert to fraction form
    1,758,238,978.70/2,637,358,468.05 = 723,842,216.30/x
  3. Step 3: Cross multiply
    1,758,238,978.70x = 2,637,358,468.05 × 723,842,216.30
  4. Step 4: Simplify right side
    1,758,238,978.70x = 1,909,031,398,690,884,864
  5. Step 5: Solve for x
    x = 1,909,031,398,690,884,864/1,758,238,978.70
  6. Step 6: Final answer
    x = 1,085,763,324.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.