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Finding the Fourth Proportional to 513,754.68, 708,980.45 and 287,400.18

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Solution

The fourth proportional to 513,754.68, 708,980.45 and 287,400.18 is: 396,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,754.68 : 708,980.45 = 287,400.18 : x
  2. Step 2: Convert to fraction form
    513,754.68/708,980.45 = 287,400.18/x
  3. Step 3: Cross multiply
    513,754.68x = 708,980.45 × 287,400.18
  4. Step 4: Simplify right side
    513,754.68x = 203,761,108,946.48
  5. Step 5: Solve for x
    x = 203,761,108,946.48/513,754.68
  6. Step 6: Final answer
    x = 396,611.68

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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.