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Finding the Fourth Proportional to 389,376.88, 583,841.76 and 152,442.16

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Solution

The fourth proportional to 389,376.88, 583,841.76 and 152,442.16 is: 228,575.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,376.88 : 583,841.76 = 152,442.16 : x
  2. Step 2: Convert to fraction form
    389,376.88/583,841.76 = 152,442.16/x
  3. Step 3: Cross multiply
    389,376.88x = 583,841.76 × 152,442.16
  4. Step 4: Simplify right side
    389,376.88x = 89,002,098,992.60
  5. Step 5: Solve for x
    x = 89,002,098,992.60/389,376.88
  6. Step 6: Final answer
    x = 228,575.72

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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.