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Finding the Fourth Proportional to 513,805.14, 709,045.87 and 284,362.87

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Solution

The fourth proportional to 513,805.14, 709,045.87 and 284,362.87 is: 392,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,805.14 : 709,045.87 = 284,362.87 : x
  2. Step 2: Convert to fraction form
    513,805.14/709,045.87 = 284,362.87/x
  3. Step 3: Cross multiply
    513,805.14x = 709,045.87 × 284,362.87
  4. Step 4: Simplify right side
    513,805.14x = 201,626,322,124.91
  5. Step 5: Solve for x
    x = 201,626,322,124.91/513,805.14
  6. Step 6: Final answer
    x = 392,417.87

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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.