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Finding the Fourth Proportional to 380,762.67, 571,139.90 and 156,073.02

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Solution

The fourth proportional to 380,762.67, 571,139.90 and 156,073.02 is: 234,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,762.67 : 571,139.90 = 156,073.02 : x
  2. Step 2: Convert to fraction form
    380,762.67/571,139.90 = 156,073.02/x
  3. Step 3: Cross multiply
    380,762.67x = 571,139.90 × 156,073.02
  4. Step 4: Simplify right side
    380,762.67x = 89,139,528,085.49
  5. Step 5: Solve for x
    x = 89,139,528,085.49/380,762.67
  6. Step 6: Final answer
    x = 234,107.85

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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.