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Finding the Fourth Proportional to 443,316.30, 664,670.67 and 159,000.76

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Solution

The fourth proportional to 443,316.30, 664,670.67 and 159,000.76 is: 238,392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,316.30 : 664,670.67 = 159,000.76 : x
  2. Step 2: Convert to fraction form
    443,316.30/664,670.67 = 159,000.76/x
  3. Step 3: Cross multiply
    443,316.30x = 664,670.67 × 159,000.76
  4. Step 4: Simplify right side
    443,316.30x = 105,683,141,679.71
  5. Step 5: Solve for x
    x = 105,683,141,679.71/443,316.30
  6. Step 6: Final answer
    x = 238,392.19

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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.