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Finding the Fourth Proportional to 662,470.76, 915,278.50 and 462,161

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Solution

The fourth proportional to 662,470.76, 915,278.50 and 462,161 is: 638,527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,470.76 : 915,278.50 = 462,161 : x
  2. Step 2: Convert to fraction form
    662,470.76/915,278.50 = 462,161/x
  3. Step 3: Cross multiply
    662,470.76x = 915,278.50 × 462,161
  4. Step 4: Simplify right side
    662,470.76x = 423,006,026,838.50
  5. Step 5: Solve for x
    x = 423,006,026,838.50/662,470.76
  6. Step 6: Final answer
    x = 638,527.85

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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.