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Finding the Fourth Proportional to 192,378.30, 288,567.45 and 156,948.90

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Solution

The fourth proportional to 192,378.30, 288,567.45 and 156,948.90 is: 235,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,378.30 : 288,567.45 = 156,948.90 : x
  2. Step 2: Convert to fraction form
    192,378.30/288,567.45 = 156,948.90/x
  3. Step 3: Cross multiply
    192,378.30x = 288,567.45 × 156,948.90
  4. Step 4: Simplify right side
    192,378.30x = 45,290,343,853.31
  5. Step 5: Solve for x
    x = 45,290,343,853.31/192,378.30
  6. Step 6: Final answer
    x = 235,423.35

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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.