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Finding the Fourth Proportional to 385,385.60, 578,078.40 and 104,902.40

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Solution

The fourth proportional to 385,385.60, 578,078.40 and 104,902.40 is: 157,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,385.60 : 578,078.40 = 104,902.40 : x
  2. Step 2: Convert to fraction form
    385,385.60/578,078.40 = 104,902.40/x
  3. Step 3: Cross multiply
    385,385.60x = 578,078.40 × 104,902.40
  4. Step 4: Simplify right side
    385,385.60x = 60,641,811,548.16
  5. Step 5: Solve for x
    x = 60,641,811,548.16/385,385.60
  6. Step 6: Final answer
    x = 157,353.60

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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.