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Finding the Fourth Proportional to 923,971, 1,275,079.98 and 500,035

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Solution

The fourth proportional to 923,971, 1,275,079.98 and 500,035 is: 690,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,971 : 1,275,079.98 = 500,035 : x
  2. Step 2: Convert to fraction form
    923,971/1,275,079.98 = 500,035/x
  3. Step 3: Cross multiply
    923,971x = 1,275,079.98 × 500,035
  4. Step 4: Simplify right side
    923,971x = 637,584,617,799.30
  5. Step 5: Solve for x
    x = 637,584,617,799.30/923,971
  6. Step 6: Final answer
    x = 690,048.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.