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Finding the Fourth Proportional to 514,287.24, 709,700.70 and 284,835.42

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Solution

The fourth proportional to 514,287.24, 709,700.70 and 284,835.42 is: 393,064.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,287.24 : 709,700.70 = 284,835.42 : x
  2. Step 2: Convert to fraction form
    514,287.24/709,700.70 = 284,835.42/x
  3. Step 3: Cross multiply
    514,287.24x = 709,700.70 × 284,835.42
  4. Step 4: Simplify right side
    514,287.24x = 202,147,896,958.79
  5. Step 5: Solve for x
    x = 202,147,896,958.79/514,287.24
  6. Step 6: Final answer
    x = 393,064.19

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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.