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Finding the Fourth Proportional to 542,136.42, 748,152.65 and 300,423

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Solution

The fourth proportional to 542,136.42, 748,152.65 and 300,423 is: 414,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,136.42 : 748,152.65 = 300,423 : x
  2. Step 2: Convert to fraction form
    542,136.42/748,152.65 = 300,423/x
  3. Step 3: Cross multiply
    542,136.42x = 748,152.65 × 300,423
  4. Step 4: Simplify right side
    542,136.42x = 224,762,263,570.95
  5. Step 5: Solve for x
    x = 224,762,263,570.95/542,136.42
  6. Step 6: Final answer
    x = 414,586.17

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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.