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Finding the Fourth Proportional to 285,294.84, 393,708.78 and 157,978.68

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Solution

The fourth proportional to 285,294.84, 393,708.78 and 157,978.68 is: 218,011.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,294.84 : 393,708.78 = 157,978.68 : x
  2. Step 2: Convert to fraction form
    285,294.84/393,708.78 = 157,978.68/x
  3. Step 3: Cross multiply
    285,294.84x = 393,708.78 × 157,978.68
  4. Step 4: Simplify right side
    285,294.84x = 62,197,593,368.81
  5. Step 5: Solve for x
    x = 62,197,593,368.81/285,294.84
  6. Step 6: Final answer
    x = 218,011.63

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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.