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Finding the Fourth Proportional to 287,038.80, 430,363.80 and 152,125.20

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Solution

The fourth proportional to 287,038.80, 430,363.80 and 152,125.20 is: 228,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,038.80 : 430,363.80 = 152,125.20 : x
  2. Step 2: Convert to fraction form
    287,038.80/430,363.80 = 152,125.20/x
  3. Step 3: Cross multiply
    287,038.80x = 430,363.80 × 152,125.20
  4. Step 4: Simplify right side
    287,038.80x = 65,469,179,147.76
  5. Step 5: Solve for x
    x = 65,469,179,147.76/287,038.80
  6. Step 6: Final answer
    x = 228,084.77

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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.