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Finding the Fourth Proportional to 208,048.80, 312,073.20 and 158,282.40

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Solution

The fourth proportional to 208,048.80, 312,073.20 and 158,282.40 is: 237,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,048.80 : 312,073.20 = 158,282.40 : x
  2. Step 2: Convert to fraction form
    208,048.80/312,073.20 = 158,282.40/x
  3. Step 3: Cross multiply
    208,048.80x = 312,073.20 × 158,282.40
  4. Step 4: Simplify right side
    208,048.80x = 49,395,695,071.68
  5. Step 5: Solve for x
    x = 49,395,695,071.68/208,048.80
  6. Step 6: Final answer
    x = 237,423.60

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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.