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Finding the Fourth Proportional to 315,687.66, 434,763.32 and 295,426.02

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Solution

The fourth proportional to 315,687.66, 434,763.32 and 295,426.02 is: 406,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,687.66 : 434,763.32 = 295,426.02 : x
  2. Step 2: Convert to fraction form
    315,687.66/434,763.32 = 295,426.02/x
  3. Step 3: Cross multiply
    315,687.66x = 434,763.32 × 295,426.02
  4. Step 4: Simplify right side
    315,687.66x = 128,440,397,269.59
  5. Step 5: Solve for x
    x = 128,440,397,269.59/315,687.66
  6. Step 6: Final answer
    x = 406,859.10

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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.