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Finding the Fourth Proportional to 258,952.47, 357,348.90 and 144,230.76

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Solution

The fourth proportional to 258,952.47, 357,348.90 and 144,230.76 is: 199,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,952.47 : 357,348.90 = 144,230.76 : x
  2. Step 2: Convert to fraction form
    258,952.47/357,348.90 = 144,230.76/x
  3. Step 3: Cross multiply
    258,952.47x = 357,348.90 × 144,230.76
  4. Step 4: Simplify right side
    258,952.47x = 51,540,703,432.16
  5. Step 5: Solve for x
    x = 51,540,703,432.16/258,952.47
  6. Step 6: Final answer
    x = 199,035.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.