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Finding the Fourth Proportional to 253,219.16, 349,428.30 and 138,475.16

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Solution

The fourth proportional to 253,219.16, 349,428.30 and 138,475.16 is: 191,087.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,219.16 : 349,428.30 = 138,475.16 : x
  2. Step 2: Convert to fraction form
    253,219.16/349,428.30 = 138,475.16/x
  3. Step 3: Cross multiply
    253,219.16x = 349,428.30 × 138,475.16
  4. Step 4: Simplify right side
    253,219.16x = 48,387,139,223.65
  5. Step 5: Solve for x
    x = 48,387,139,223.65/253,219.16
  6. Step 6: Final answer
    x = 191,087.99

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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.