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Finding the Fourth Proportional to 736,885, 1,016,901.30 and 418,933

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Solution

The fourth proportional to 736,885, 1,016,901.30 and 418,933 is: 578,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,885 : 1,016,901.30 = 418,933 : x
  2. Step 2: Convert to fraction form
    736,885/1,016,901.30 = 418,933/x
  3. Step 3: Cross multiply
    736,885x = 1,016,901.30 × 418,933
  4. Step 4: Simplify right side
    736,885x = 426,013,512,312.90
  5. Step 5: Solve for x
    x = 426,013,512,312.90/736,885
  6. Step 6: Final answer
    x = 578,127.54

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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.