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Finding the Fourth Proportional to 438,047.40, 656,585.10 and 171,719.40

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Solution

The fourth proportional to 438,047.40, 656,585.10 and 171,719.40 is: 257,388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,047.40 : 656,585.10 = 171,719.40 : x
  2. Step 2: Convert to fraction form
    438,047.40/656,585.10 = 171,719.40/x
  3. Step 3: Cross multiply
    438,047.40x = 656,585.10 × 171,719.40
  4. Step 4: Simplify right side
    438,047.40x = 112,748,399,420.94
  5. Step 5: Solve for x
    x = 112,748,399,420.94/438,047.40
  6. Step 6: Final answer
    x = 257,388.58

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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.