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Finding the Fourth Proportional to 291,357.40, 402,086.82 and 176,639.62

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Solution

The fourth proportional to 291,357.40, 402,086.82 and 176,639.62 is: 243,770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,357.40 : 402,086.82 = 176,639.62 : x
  2. Step 2: Convert to fraction form
    291,357.40/402,086.82 = 176,639.62/x
  3. Step 3: Cross multiply
    291,357.40x = 402,086.82 × 176,639.62
  4. Step 4: Simplify right side
    291,357.40x = 71,024,463,091.81
  5. Step 5: Solve for x
    x = 71,024,463,091.81/291,357.40
  6. Step 6: Final answer
    x = 243,770.93

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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.