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Finding the Fourth Proportional to 662,473.76, 915,282.64 and 462,164

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Solution

The fourth proportional to 662,473.76, 915,282.64 and 462,164 is: 638,531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,473.76 : 915,282.64 = 462,164 : x
  2. Step 2: Convert to fraction form
    662,473.76/915,282.64 = 462,164/x
  3. Step 3: Cross multiply
    662,473.76x = 915,282.64 × 462,164
  4. Step 4: Simplify right side
    662,473.76x = 423,010,686,032.96
  5. Step 5: Solve for x
    x = 423,010,686,032.96/662,473.76
  6. Step 6: Final answer
    x = 638,531.99

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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.