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Finding the Fourth Proportional to 513,490.61, 708,555.30 and 295,770.10

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Solution

The fourth proportional to 513,490.61, 708,555.30 and 295,770.10 is: 408,127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,490.61 : 708,555.30 = 295,770.10 : x
  2. Step 2: Convert to fraction form
    513,490.61/708,555.30 = 295,770.10/x
  3. Step 3: Cross multiply
    513,490.61x = 708,555.30 × 295,770.10
  4. Step 4: Simplify right side
    513,490.61x = 209,569,471,936.53
  5. Step 5: Solve for x
    x = 209,569,471,936.53/513,490.61
  6. Step 6: Final answer
    x = 408,127.17

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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.