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Finding the Fourth Proportional to 289,881.60, 434,822.40 and 129,957.24

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Solution

The fourth proportional to 289,881.60, 434,822.40 and 129,957.24 is: 194,935.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,881.60 : 434,822.40 = 129,957.24 : x
  2. Step 2: Convert to fraction form
    289,881.60/434,822.40 = 129,957.24/x
  3. Step 3: Cross multiply
    289,881.60x = 434,822.40 × 129,957.24
  4. Step 4: Simplify right side
    289,881.60x = 56,508,318,994.18
  5. Step 5: Solve for x
    x = 56,508,318,994.18/289,881.60
  6. Step 6: Final answer
    x = 194,935.86

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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.