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Finding the Fourth Proportional to 514,395.27, 710,051.81 and 418,735.89

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Solution

The fourth proportional to 514,395.27, 710,051.81 and 418,735.89 is: 578,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,395.27 : 710,051.81 = 418,735.89 : x
  2. Step 2: Convert to fraction form
    514,395.27/710,051.81 = 418,735.89/x
  3. Step 3: Cross multiply
    514,395.27x = 710,051.81 × 418,735.89
  4. Step 4: Simplify right side
    514,395.27x = 297,324,174,512.78
  5. Step 5: Solve for x
    x = 297,324,174,512.78/514,395.27
  6. Step 6: Final answer
    x = 578,007.21

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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.