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Finding the Fourth Proportional to 380,625.52, 570,938.28 and 158,854

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Solution

The fourth proportional to 380,625.52, 570,938.28 and 158,854 is: 238,281.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,625.52 : 570,938.28 = 158,854 : x
  2. Step 2: Convert to fraction form
    380,625.52/570,938.28 = 158,854/x
  3. Step 3: Cross multiply
    380,625.52x = 570,938.28 × 158,854
  4. Step 4: Simplify right side
    380,625.52x = 90,695,829,531.12
  5. Step 5: Solve for x
    x = 90,695,829,531.12/380,625.52
  6. Step 6: Final answer
    x = 238,281.00

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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.