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Finding the Fourth Proportional to 736,886, 1,016,902.68 and 418,934

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Solution

The fourth proportional to 736,886, 1,016,902.68 and 418,934 is: 578,128.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,886 : 1,016,902.68 = 418,934 : x
  2. Step 2: Convert to fraction form
    736,886/1,016,902.68 = 418,934/x
  3. Step 3: Cross multiply
    736,886x = 1,016,902.68 × 418,934
  4. Step 4: Simplify right side
    736,886x = 426,015,107,343.12
  5. Step 5: Solve for x
    x = 426,015,107,343.12/736,886
  6. Step 6: Final answer
    x = 578,128.92

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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.