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Finding the Fourth Proportional to 361,885.20, 542,827.80 and 256,909.20

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Solution

The fourth proportional to 361,885.20, 542,827.80 and 256,909.20 is: 385,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,885.20 : 542,827.80 = 256,909.20 : x
  2. Step 2: Convert to fraction form
    361,885.20/542,827.80 = 256,909.20/x
  3. Step 3: Cross multiply
    361,885.20x = 542,827.80 × 256,909.20
  4. Step 4: Simplify right side
    361,885.20x = 139,457,455,835.76
  5. Step 5: Solve for x
    x = 139,457,455,835.76/361,885.20
  6. Step 6: Final answer
    x = 385,363.80

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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.