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Finding the Fourth Proportional to 311,638.59, 430,061.07 and 168,398.58

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Solution

The fourth proportional to 311,638.59, 430,061.07 and 168,398.58 is: 232,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,638.59 : 430,061.07 = 168,398.58 : x
  2. Step 2: Convert to fraction form
    311,638.59/430,061.07 = 168,398.58/x
  3. Step 3: Cross multiply
    311,638.59x = 430,061.07 × 168,398.58
  4. Step 4: Simplify right side
    311,638.59x = 72,421,673,501.28
  5. Step 5: Solve for x
    x = 72,421,673,501.28/311,638.59
  6. Step 6: Final answer
    x = 232,389.94

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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.