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Finding the Fourth Proportional to 407,742.32, 562,691.35 and 223,988.63

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Solution

The fourth proportional to 407,742.32, 562,691.35 and 223,988.63 is: 309,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,742.32 : 562,691.35 = 223,988.63 : x
  2. Step 2: Convert to fraction form
    407,742.32/562,691.35 = 223,988.63/x
  3. Step 3: Cross multiply
    407,742.32x = 562,691.35 × 223,988.63
  4. Step 4: Simplify right side
    407,742.32x = 126,036,465,617.54
  5. Step 5: Solve for x
    x = 126,036,465,617.54/407,742.32
  6. Step 6: Final answer
    x = 309,108.13

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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.