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Finding the Fourth Proportional to 261,361,231.20, 392,041,846.80 and 249,456,952.80

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Solution

The fourth proportional to 261,361,231.20, 392,041,846.80 and 249,456,952.80 is: 374,185,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,361,231.20 : 392,041,846.80 = 249,456,952.80 : x
  2. Step 2: Convert to fraction form
    261,361,231.20/392,041,846.80 = 249,456,952.80/x
  3. Step 3: Cross multiply
    261,361,231.20x = 392,041,846.80 × 249,456,952.80
  4. Step 4: Simplify right side
    261,361,231.20x = 97,797,564,472,812,432
  5. Step 5: Solve for x
    x = 97,797,564,472,812,432/261,361,231.20
  6. Step 6: Final answer
    x = 374,185,429.20

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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.