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Finding the Fourth Proportional to 514,384.92, 709,835.13 and 284,932.98

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Solution

The fourth proportional to 514,384.92, 709,835.13 and 284,932.98 is: 393,198.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,384.92 : 709,835.13 = 284,932.98 : x
  2. Step 2: Convert to fraction form
    514,384.92/709,835.13 = 284,932.98/x
  3. Step 3: Cross multiply
    514,384.92x = 709,835.13 × 284,932.98
  4. Step 4: Simplify right side
    514,384.92x = 202,255,438,899.59
  5. Step 5: Solve for x
    x = 202,255,438,899.59/514,384.92
  6. Step 6: Final answer
    x = 393,198.62

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1.5x scale

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.