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Finding the Fourth Proportional to 649,488.34, 974,353.47 and 229,031.38

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Solution

The fourth proportional to 649,488.34, 974,353.47 and 229,031.38 is: 343,589.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,488.34 : 974,353.47 = 229,031.38 : x
  2. Step 2: Convert to fraction form
    649,488.34/974,353.47 = 229,031.38/x
  3. Step 3: Cross multiply
    649,488.34x = 974,353.47 × 229,031.38
  4. Step 4: Simplify right side
    649,488.34x = 223,157,519,841.89
  5. Step 5: Solve for x
    x = 223,157,519,841.89/649,488.34
  6. Step 6: Final answer
    x = 343,589.72

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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.