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Finding the Fourth Proportional to 315,780.60, 473,702.78 and 102,539.60

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Solution

The fourth proportional to 315,780.60, 473,702.78 and 102,539.60 is: 153,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,780.60 : 473,702.78 = 102,539.60 : x
  2. Step 2: Convert to fraction form
    315,780.60/473,702.78 = 102,539.60/x
  3. Step 3: Cross multiply
    315,780.60x = 473,702.78 × 102,539.60
  4. Step 4: Simplify right side
    315,780.60x = 48,573,290,698.88
  5. Step 5: Solve for x
    x = 48,573,290,698.88/315,780.60
  6. Step 6: Final answer
    x = 153,819.74

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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.