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Finding the Fourth Proportional to 313,932.80, 470,888.76 and 136,440.02

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Solution

The fourth proportional to 313,932.80, 470,888.76 and 136,440.02 is: 204,655.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,932.80 : 470,888.76 = 136,440.02 : x
  2. Step 2: Convert to fraction form
    313,932.80/470,888.76 = 136,440.02/x
  3. Step 3: Cross multiply
    313,932.80x = 470,888.76 × 136,440.02
  4. Step 4: Simplify right side
    313,932.80x = 64,248,071,832.18
  5. Step 5: Solve for x
    x = 64,248,071,832.18/313,932.80
  6. Step 6: Final answer
    x = 204,655.49

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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.