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Finding the Fourth Proportional to 253,478.16, 349,794.45 and 138,753.81

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Solution

The fourth proportional to 253,478.16, 349,794.45 and 138,753.81 is: 191,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,478.16 : 349,794.45 = 138,753.81 : x
  2. Step 2: Convert to fraction form
    253,478.16/349,794.45 = 138,753.81/x
  3. Step 3: Cross multiply
    253,478.16x = 349,794.45 × 138,753.81
  4. Step 4: Simplify right side
    253,478.16x = 48,535,312,654.35
  5. Step 5: Solve for x
    x = 48,535,312,654.35/253,478.16
  6. Step 6: Final answer
    x = 191,477.30

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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.