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Finding the Fourth Proportional to 478,785.86, 717,957.98 and 141,705.98

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Solution

The fourth proportional to 478,785.86, 717,957.98 and 141,705.98 is: 212,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,785.86 : 717,957.98 = 141,705.98 : x
  2. Step 2: Convert to fraction form
    478,785.86/717,957.98 = 141,705.98/x
  3. Step 3: Cross multiply
    478,785.86x = 717,957.98 × 141,705.98
  4. Step 4: Simplify right side
    478,785.86x = 101,738,939,154.72
  5. Step 5: Solve for x
    x = 101,738,939,154.72/478,785.86
  6. Step 6: Final answer
    x = 212,493.62

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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.