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Finding the Fourth Proportional to 514,268.01, 709,691.90 and 299,555.64

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Solution

The fourth proportional to 514,268.01, 709,691.90 and 299,555.64 is: 413,387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,268.01 : 709,691.90 = 299,555.64 : x
  2. Step 2: Convert to fraction form
    514,268.01/709,691.90 = 299,555.64/x
  3. Step 3: Cross multiply
    514,268.01x = 709,691.90 × 299,555.64
  4. Step 4: Simplify right side
    514,268.01x = 212,592,209,809.54
  5. Step 5: Solve for x
    x = 212,592,209,809.54/514,268.01
  6. Step 6: Final answer
    x = 413,387.97

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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.