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Finding the Fourth Proportional to 283,632.84, 391,416 and 156,313.08

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Solution

The fourth proportional to 283,632.84, 391,416 and 156,313.08 is: 215,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,632.84 : 391,416 = 156,313.08 : x
  2. Step 2: Convert to fraction form
    283,632.84/391,416 = 156,313.08/x
  3. Step 3: Cross multiply
    283,632.84x = 391,416 × 156,313.08
  4. Step 4: Simplify right side
    283,632.84x = 61,183,440,521.28
  5. Step 5: Solve for x
    x = 61,183,440,521.28/283,632.84
  6. Step 6: Final answer
    x = 215,713.53

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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.