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Finding the Fourth Proportional to 311,830.64, 430,326.32 and 168,590.64

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Solution

The fourth proportional to 311,830.64, 430,326.32 and 168,590.64 is: 232,655.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,830.64 : 430,326.32 = 168,590.64 : x
  2. Step 2: Convert to fraction form
    311,830.64/430,326.32 = 168,590.64/x
  3. Step 3: Cross multiply
    311,830.64x = 430,326.32 × 168,590.64
  4. Step 4: Simplify right side
    311,830.64x = 72,548,988,854.69
  5. Step 5: Solve for x
    x = 72,548,988,854.69/311,830.64
  6. Step 6: Final answer
    x = 232,655.10

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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.