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Finding the Fourth Proportional to 421,565.70, 631,036.35 and 243,543.90

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Solution

The fourth proportional to 421,565.70, 631,036.35 and 243,543.90 is: 364,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,565.70 : 631,036.35 = 243,543.90 : x
  2. Step 2: Convert to fraction form
    421,565.70/631,036.35 = 243,543.90/x
  3. Step 3: Cross multiply
    421,565.70x = 631,036.35 × 243,543.90
  4. Step 4: Simplify right side
    421,565.70x = 153,685,053,720.77
  5. Step 5: Solve for x
    x = 153,685,053,720.77/421,565.70
  6. Step 6: Final answer
    x = 364,557.78

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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.