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Finding the Fourth Proportional to 432,823.80, 649,235.70 and 266,705.40

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Solution

The fourth proportional to 432,823.80, 649,235.70 and 266,705.40 is: 400,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,823.80 : 649,235.70 = 266,705.40 : x
  2. Step 2: Convert to fraction form
    432,823.80/649,235.70 = 266,705.40/x
  3. Step 3: Cross multiply
    432,823.80x = 649,235.70 × 266,705.40
  4. Step 4: Simplify right side
    432,823.80x = 173,154,667,062.78
  5. Step 5: Solve for x
    x = 173,154,667,062.78/432,823.80
  6. Step 6: Final answer
    x = 400,058.10

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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.