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Finding the Fourth Proportional to 270,718.80, 406,078.20 and 83,730.30

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Solution

The fourth proportional to 270,718.80, 406,078.20 and 83,730.30 is: 125,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,718.80 : 406,078.20 = 83,730.30 : x
  2. Step 2: Convert to fraction form
    270,718.80/406,078.20 = 83,730.30/x
  3. Step 3: Cross multiply
    270,718.80x = 406,078.20 × 83,730.30
  4. Step 4: Simplify right side
    270,718.80x = 34,001,049,509.46
  5. Step 5: Solve for x
    x = 34,001,049,509.46/270,718.80
  6. Step 6: Final answer
    x = 125,595.45

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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.