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Finding the Fourth Proportional to 420,407.19, 580,174.25 and 229,432.86

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Solution

The fourth proportional to 420,407.19, 580,174.25 and 229,432.86 is: 316,624.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,407.19 : 580,174.25 = 229,432.86 : x
  2. Step 2: Convert to fraction form
    420,407.19/580,174.25 = 229,432.86/x
  3. Step 3: Cross multiply
    420,407.19x = 580,174.25 × 229,432.86
  4. Step 4: Simplify right side
    420,407.19x = 133,111,036,328.69
  5. Step 5: Solve for x
    x = 133,111,036,328.69/420,407.19
  6. Step 6: Final answer
    x = 316,624.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.