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Finding the Fourth Proportional to 313,678.64, 432,878.28 and 170,439.86

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Solution

The fourth proportional to 313,678.64, 432,878.28 and 170,439.86 is: 235,207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,678.64 : 432,878.28 = 170,439.86 : x
  2. Step 2: Convert to fraction form
    313,678.64/432,878.28 = 170,439.86/x
  3. Step 3: Cross multiply
    313,678.64x = 432,878.28 × 170,439.86
  4. Step 4: Simplify right side
    313,678.64x = 73,779,713,440.24
  5. Step 5: Solve for x
    x = 73,779,713,440.24/313,678.64
  6. Step 6: Final answer
    x = 235,207.96

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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.