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Finding the Fourth Proportional to 861,664, 1,189,123.68 and 539,271.04

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Solution

The fourth proportional to 861,664, 1,189,123.68 and 539,271.04 is: 744,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,664 : 1,189,123.68 = 539,271.04 : x
  2. Step 2: Convert to fraction form
    861,664/1,189,123.68 = 539,271.04/x
  3. Step 3: Cross multiply
    861,664x = 1,189,123.68 × 539,271.04
  4. Step 4: Simplify right side
    861,664x = 641,259,963,602.23
  5. Step 5: Solve for x
    x = 641,259,963,602.23/861,664
  6. Step 6: Final answer
    x = 744,211.16

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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.