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Finding the Fourth Proportional to 642,712.47, 962,712.45 and 515,664.87

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Solution

The fourth proportional to 642,712.47, 962,712.45 and 515,664.87 is: 772,409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,712.47 : 962,712.45 = 515,664.87 : x
  2. Step 2: Convert to fraction form
    642,712.47/962,712.45 = 515,664.87/x
  3. Step 3: Cross multiply
    642,712.47x = 962,712.45 × 515,664.87
  4. Step 4: Simplify right side
    642,712.47x = 496,436,990,376.63
  5. Step 5: Solve for x
    x = 496,436,990,376.63/642,712.47
  6. Step 6: Final answer
    x = 772,409.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.