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Finding the Fourth Proportional to 509,384.92, 702,910.08 and 294,538.90

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Solution

The fourth proportional to 509,384.92, 702,910.08 and 294,538.90 is: 406,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,384.92 : 702,910.08 = 294,538.90 : x
  2. Step 2: Convert to fraction form
    509,384.92/702,910.08 = 294,538.90/x
  3. Step 3: Cross multiply
    509,384.92x = 702,910.08 × 294,538.90
  4. Step 4: Simplify right side
    509,384.92x = 207,034,361,762.11
  5. Step 5: Solve for x
    x = 207,034,361,762.11/509,384.92
  6. Step 6: Final answer
    x = 406,439.91

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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.