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Finding the Fourth Proportional to 214,373.48, 321,492.78 and 77,578.92

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Solution

The fourth proportional to 214,373.48, 321,492.78 and 77,578.92 is: 116,343.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,373.48 : 321,492.78 = 77,578.92 : x
  2. Step 2: Convert to fraction form
    214,373.48/321,492.78 = 77,578.92/x
  3. Step 3: Cross multiply
    214,373.48x = 321,492.78 × 77,578.92
  4. Step 4: Simplify right side
    214,373.48x = 24,941,062,660.20
  5. Step 5: Solve for x
    x = 24,941,062,660.20/214,373.48
  6. Step 6: Final answer
    x = 116,343.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.