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Finding the Fourth Proportional to 432,888.66, 649,478.80 and 272,778.66

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Solution

The fourth proportional to 432,888.66, 649,478.80 and 272,778.66 is: 409,259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,888.66 : 649,478.80 = 272,778.66 : x
  2. Step 2: Convert to fraction form
    432,888.66/649,478.80 = 272,778.66/x
  3. Step 3: Cross multiply
    432,888.66x = 649,478.80 × 272,778.66
  4. Step 4: Simplify right side
    432,888.66x = 177,163,956,762.41
  5. Step 5: Solve for x
    x = 177,163,956,762.41/432,888.66
  6. Step 6: Final answer
    x = 409,259.87

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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.