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Finding the Fourth Proportional to 542,117.32, 813,215.91 and 142,755.32

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Solution

The fourth proportional to 542,117.32, 813,215.91 and 142,755.32 is: 214,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,117.32 : 813,215.91 = 142,755.32 : x
  2. Step 2: Convert to fraction form
    542,117.32/813,215.91 = 142,755.32/x
  3. Step 3: Cross multiply
    542,117.32x = 813,215.91 × 142,755.32
  4. Step 4: Simplify right side
    542,117.32x = 116,090,897,461.14
  5. Step 5: Solve for x
    x = 116,090,897,461.14/542,117.32
  6. Step 6: Final answer
    x = 214,143.49

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1.5x scale

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.