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Finding the Fourth Proportional to 243,215.20, 364,822.80 and 149,903.20

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Solution

The fourth proportional to 243,215.20, 364,822.80 and 149,903.20 is: 224,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,215.20 : 364,822.80 = 149,903.20 : x
  2. Step 2: Convert to fraction form
    243,215.20/364,822.80 = 149,903.20/x
  3. Step 3: Cross multiply
    243,215.20x = 364,822.80 × 149,903.20
  4. Step 4: Simplify right side
    243,215.20x = 54,688,105,152.96
  5. Step 5: Solve for x
    x = 54,688,105,152.96/243,215.20
  6. Step 6: Final answer
    x = 224,854.80

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1.5x scale

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.