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Finding the Fourth Proportional to 420,115.44, 579,752.24 and 229,117.44

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Solution

The fourth proportional to 420,115.44, 579,752.24 and 229,117.44 is: 316,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,115.44 : 579,752.24 = 229,117.44 : x
  2. Step 2: Convert to fraction form
    420,115.44/579,752.24 = 229,117.44/x
  3. Step 3: Cross multiply
    420,115.44x = 579,752.24 × 229,117.44
  4. Step 4: Simplify right side
    420,115.44x = 132,831,349,063.07
  5. Step 5: Solve for x
    x = 132,831,349,063.07/420,115.44
  6. Step 6: Final answer
    x = 316,178.21

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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.