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Finding the Fourth Proportional to 542,281.78, 812,881.32 and 187,069.24

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Solution

The fourth proportional to 542,281.78, 812,881.32 and 187,069.24 is: 280,417.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,281.78 : 812,881.32 = 187,069.24 : x
  2. Step 2: Convert to fraction form
    542,281.78/812,881.32 = 187,069.24/x
  3. Step 3: Cross multiply
    542,281.78x = 812,881.32 × 187,069.24
  4. Step 4: Simplify right side
    542,281.78x = 152,065,090,742.60
  5. Step 5: Solve for x
    x = 152,065,090,742.60/542,281.78
  6. Step 6: Final answer
    x = 280,417.11

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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.