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Finding the Fourth Proportional to 507,640.10, 761,168.55 and 152,600.90

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Solution

The fourth proportional to 507,640.10, 761,168.55 and 152,600.90 is: 228,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,640.10 : 761,168.55 = 152,600.90 : x
  2. Step 2: Convert to fraction form
    507,640.10/761,168.55 = 152,600.90/x
  3. Step 3: Cross multiply
    507,640.10x = 761,168.55 × 152,600.90
  4. Step 4: Simplify right side
    507,640.10x = 116,155,005,781.70
  5. Step 5: Solve for x
    x = 116,155,005,781.70/507,640.10
  6. Step 6: Final answer
    x = 228,813.69

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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.