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Finding the Fourth Proportional to 257,113.60, 385,411.20 and 116,972.80

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Solution

The fourth proportional to 257,113.60, 385,411.20 and 116,972.80 is: 175,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,113.60 : 385,411.20 = 116,972.80 : x
  2. Step 2: Convert to fraction form
    257,113.60/385,411.20 = 116,972.80/x
  3. Step 3: Cross multiply
    257,113.60x = 385,411.20 × 116,972.80
  4. Step 4: Simplify right side
    257,113.60x = 45,082,627,215.36
  5. Step 5: Solve for x
    x = 45,082,627,215.36/257,113.60
  6. Step 6: Final answer
    x = 175,341.28

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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.