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Finding the Fourth Proportional to 311,988.10, 430,543.62 and 168,748.16

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Solution

The fourth proportional to 311,988.10, 430,543.62 and 168,748.16 is: 232,872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,988.10 : 430,543.62 = 168,748.16 : x
  2. Step 2: Convert to fraction form
    311,988.10/430,543.62 = 168,748.16/x
  3. Step 3: Cross multiply
    311,988.10x = 430,543.62 × 168,748.16
  4. Step 4: Simplify right side
    311,988.10x = 72,653,443,674.74
  5. Step 5: Solve for x
    x = 72,653,443,674.74/311,988.10
  6. Step 6: Final answer
    x = 232,872.48

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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.