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Finding the Fourth Proportional to 1,138,900,978.04, 1,708,001,723.84 and 401,798,503.28

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Solution

The fourth proportional to 1,138,900,978.04, 1,708,001,723.84 and 401,798,503.28 is: 602,574,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,900,978.04 : 1,708,001,723.84 = 401,798,503.28 : x
  2. Step 2: Convert to fraction form
    1,138,900,978.04/1,708,001,723.84 = 401,798,503.28/x
  3. Step 3: Cross multiply
    1,138,900,978.04x = 1,708,001,723.84 × 401,798,503.28
  4. Step 4: Simplify right side
    1,138,900,978.04x = 686,272,536,238,571,776
  5. Step 5: Solve for x
    x = 686,272,536,238,571,776/1,138,900,978.04
  6. Step 6: Final answer
    x = 602,574,367.28

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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.