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Finding the Fourth Proportional to 256,362.60, 384,543.90 and 69,374.10

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Solution

The fourth proportional to 256,362.60, 384,543.90 and 69,374.10 is: 104,061.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,362.60 : 384,543.90 = 69,374.10 : x
  2. Step 2: Convert to fraction form
    256,362.60/384,543.90 = 69,374.10/x
  3. Step 3: Cross multiply
    256,362.60x = 384,543.90 × 69,374.10
  4. Step 4: Simplify right side
    256,362.60x = 26,677,386,972.99
  5. Step 5: Solve for x
    x = 26,677,386,972.99/256,362.60
  6. Step 6: Final answer
    x = 104,061.15

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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.