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Finding the Fourth Proportional to 540,159.64, 745,428.13 and 298,447.78

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Solution

The fourth proportional to 540,159.64, 745,428.13 and 298,447.78 is: 411,862.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,159.64 : 745,428.13 = 298,447.78 : x
  2. Step 2: Convert to fraction form
    540,159.64/745,428.13 = 298,447.78/x
  3. Step 3: Cross multiply
    540,159.64x = 745,428.13 × 298,447.78
  4. Step 4: Simplify right side
    540,159.64x = 222,471,370,548.05
  5. Step 5: Solve for x
    x = 222,471,370,548.05/540,159.64
  6. Step 6: Final answer
    x = 411,862.26

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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.