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Finding the Fourth Proportional to 383,711.60, 575,239.22 and 147,224

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Solution

The fourth proportional to 383,711.60, 575,239.22 and 147,224 is: 220,710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,711.60 : 575,239.22 = 147,224 : x
  2. Step 2: Convert to fraction form
    383,711.60/575,239.22 = 147,224/x
  3. Step 3: Cross multiply
    383,711.60x = 575,239.22 × 147,224
  4. Step 4: Simplify right side
    383,711.60x = 84,689,018,925.28
  5. Step 5: Solve for x
    x = 84,689,018,925.28/383,711.60
  6. Step 6: Final answer
    x = 220,710.08

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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.