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Finding the Fourth Proportional to 537,710.40, 742,705.20 and 394,243.20

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Solution

The fourth proportional to 537,710.40, 742,705.20 and 394,243.20 is: 544,543.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,710.40 : 742,705.20 = 394,243.20 : x
  2. Step 2: Convert to fraction form
    537,710.40/742,705.20 = 394,243.20/x
  3. Step 3: Cross multiply
    537,710.40x = 742,705.20 × 394,243.20
  4. Step 4: Simplify right side
    537,710.40x = 292,806,474,704.64
  5. Step 5: Solve for x
    x = 292,806,474,704.64/537,710.40
  6. Step 6: Final answer
    x = 544,543.08

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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.