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Finding the Fourth Proportional to 257,074.40, 385,496.40 and 99,250.40

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Solution

The fourth proportional to 257,074.40, 385,496.40 and 99,250.40 is: 148,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,074.40 : 385,496.40 = 99,250.40 : x
  2. Step 2: Convert to fraction form
    257,074.40/385,496.40 = 99,250.40/x
  3. Step 3: Cross multiply
    257,074.40x = 385,496.40 × 99,250.40
  4. Step 4: Simplify right side
    257,074.40x = 38,260,671,898.56
  5. Step 5: Solve for x
    x = 38,260,671,898.56/257,074.40
  6. Step 6: Final answer
    x = 148,831.12

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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.