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Finding the Fourth Proportional to 736,884, 1,016,899.92 and 418,932

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Solution

The fourth proportional to 736,884, 1,016,899.92 and 418,932 is: 578,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,884 : 1,016,899.92 = 418,932 : x
  2. Step 2: Convert to fraction form
    736,884/1,016,899.92 = 418,932/x
  3. Step 3: Cross multiply
    736,884x = 1,016,899.92 × 418,932
  4. Step 4: Simplify right side
    736,884x = 426,011,917,285.44
  5. Step 5: Solve for x
    x = 426,011,917,285.44/736,884
  6. Step 6: Final answer
    x = 578,126.16

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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.