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Finding the Fourth Proportional to 383,988.96, 575,925.12 and 147,443.04

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Solution

The fourth proportional to 383,988.96, 575,925.12 and 147,443.04 is: 221,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,988.96 : 575,925.12 = 147,443.04 : x
  2. Step 2: Convert to fraction form
    383,988.96/575,925.12 = 147,443.04/x
  3. Step 3: Cross multiply
    383,988.96x = 575,925.12 × 147,443.04
  4. Step 4: Simplify right side
    383,988.96x = 84,916,150,505.16
  5. Step 5: Solve for x
    x = 84,916,150,505.16/383,988.96
  6. Step 6: Final answer
    x = 221,142.17

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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.