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Finding the Fourth Proportional to 495,251.70, 742,221.45 and 438,827.10

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Solution

The fourth proportional to 495,251.70, 742,221.45 and 438,827.10 is: 657,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,251.70 : 742,221.45 = 438,827.10 : x
  2. Step 2: Convert to fraction form
    495,251.70/742,221.45 = 438,827.10/x
  3. Step 3: Cross multiply
    495,251.70x = 742,221.45 × 438,827.10
  4. Step 4: Simplify right side
    495,251.70x = 325,706,886,461.30
  5. Step 5: Solve for x
    x = 325,706,886,461.30/495,251.70
  6. Step 6: Final answer
    x = 657,659.30

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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.