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Finding the Fourth Proportional to 311,426.48, 429,768.52 and 168,186.51

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Solution

The fourth proportional to 311,426.48, 429,768.52 and 168,186.51 is: 232,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,426.48 : 429,768.52 = 168,186.51 : x
  2. Step 2: Convert to fraction form
    311,426.48/429,768.52 = 168,186.51/x
  3. Step 3: Cross multiply
    311,426.48x = 429,768.52 × 168,186.51
  4. Step 4: Simplify right side
    311,426.48x = 72,281,267,486.67
  5. Step 5: Solve for x
    x = 72,281,267,486.67/311,426.48
  6. Step 6: Final answer
    x = 232,097.37

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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.