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Finding the Fourth Proportional to 502,157.02, 753,258.30 and 142,353.61

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Solution

The fourth proportional to 502,157.02, 753,258.30 and 142,353.61 is: 213,536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,157.02 : 753,258.30 = 142,353.61 : x
  2. Step 2: Convert to fraction form
    502,157.02/753,258.30 = 142,353.61/x
  3. Step 3: Cross multiply
    502,157.02x = 753,258.30 × 142,353.61
  4. Step 4: Simplify right side
    502,157.02x = 107,229,038,267.46
  5. Step 5: Solve for x
    x = 107,229,038,267.46/502,157.02
  6. Step 6: Final answer
    x = 213,536.87

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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.