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Finding the Fourth Proportional to 393,000.96, 542,341.20 and 214,152.96

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Solution

The fourth proportional to 393,000.96, 542,341.20 and 214,152.96 is: 295,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,000.96 : 542,341.20 = 214,152.96 : x
  2. Step 2: Convert to fraction form
    393,000.96/542,341.20 = 214,152.96/x
  3. Step 3: Cross multiply
    393,000.96x = 542,341.20 × 214,152.96
  4. Step 4: Simplify right side
    393,000.96x = 116,143,973,309.95
  5. Step 5: Solve for x
    x = 116,143,973,309.95/393,000.96
  6. Step 6: Final answer
    x = 295,531.02

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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.