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Finding the Fourth Proportional to 462,847.32, 638,546.70 and 290,664

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Solution

The fourth proportional to 462,847.32, 638,546.70 and 290,664 is: 401,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,847.32 : 638,546.70 = 290,664 : x
  2. Step 2: Convert to fraction form
    462,847.32/638,546.70 = 290,664/x
  3. Step 3: Cross multiply
    462,847.32x = 638,546.70 × 290,664
  4. Step 4: Simplify right side
    462,847.32x = 185,602,538,008.80
  5. Step 5: Solve for x
    x = 185,602,538,008.80/462,847.32
  6. Step 6: Final answer
    x = 401,001.65

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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.