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Finding the Fourth Proportional to 514,390.92, 709,843.38 and 284,938.98

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Solution

The fourth proportional to 514,390.92, 709,843.38 and 284,938.98 is: 393,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,390.92 : 709,843.38 = 284,938.98 : x
  2. Step 2: Convert to fraction form
    514,390.92/709,843.38 = 284,938.98/x
  3. Step 3: Cross multiply
    514,390.92x = 709,843.38 × 284,938.98
  4. Step 4: Simplify right side
    514,390.92x = 202,262,048,656.95
  5. Step 5: Solve for x
    x = 202,262,048,656.95/514,390.92
  6. Step 6: Final answer
    x = 393,206.88

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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.