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Finding the Fourth Proportional to 385,905.60, 578,641.68 and 264,463.20

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Solution

The fourth proportional to 385,905.60, 578,641.68 and 264,463.20 is: 396,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,905.60 : 578,641.68 = 264,463.20 : x
  2. Step 2: Convert to fraction form
    385,905.60/578,641.68 = 264,463.20/x
  3. Step 3: Cross multiply
    385,905.60x = 578,641.68 × 264,463.20
  4. Step 4: Simplify right side
    385,905.60x = 153,029,430,346.18
  5. Step 5: Solve for x
    x = 153,029,430,346.18/385,905.60
  6. Step 6: Final answer
    x = 396,546.28

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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.