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Finding the Fourth Proportional to 258,726.87, 357,042.53 and 145,549.62

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Solution

The fourth proportional to 258,726.87, 357,042.53 and 145,549.62 is: 200,858.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,726.87 : 357,042.53 = 145,549.62 : x
  2. Step 2: Convert to fraction form
    258,726.87/357,042.53 = 145,549.62/x
  3. Step 3: Cross multiply
    258,726.87x = 357,042.53 × 145,549.62
  4. Step 4: Simplify right side
    258,726.87x = 51,967,403,837.59
  5. Step 5: Solve for x
    x = 51,967,403,837.59/258,726.87
  6. Step 6: Final answer
    x = 200,858.16

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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.