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Finding the Fourth Proportional to 261,495.02, 392,241.66 and 147,591.20

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Solution

The fourth proportional to 261,495.02, 392,241.66 and 147,591.20 is: 221,386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,495.02 : 392,241.66 = 147,591.20 : x
  2. Step 2: Convert to fraction form
    261,495.02/392,241.66 = 147,591.20/x
  3. Step 3: Cross multiply
    261,495.02x = 392,241.66 × 147,591.20
  4. Step 4: Simplify right side
    261,495.02x = 57,891,415,328.18
  5. Step 5: Solve for x
    x = 57,891,415,328.18/261,495.02
  6. Step 6: Final answer
    x = 221,386.31

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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.