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Finding the Fourth Proportional to 478,043.62, 716,898.12 and 140,994.76

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Solution

The fourth proportional to 478,043.62, 716,898.12 and 140,994.76 is: 211,442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,043.62 : 716,898.12 = 140,994.76 : x
  2. Step 2: Convert to fraction form
    478,043.62/716,898.12 = 140,994.76/x
  3. Step 3: Cross multiply
    478,043.62x = 716,898.12 × 140,994.76
  4. Step 4: Simplify right side
    478,043.62x = 101,078,878,373.85
  5. Step 5: Solve for x
    x = 101,078,878,373.85/478,043.62
  6. Step 6: Final answer
    x = 211,442.79

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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.