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Finding the Fourth Proportional to 398,279.12, 549,255.96 and 290,678.72

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Solution

The fourth proportional to 398,279.12, 549,255.96 and 290,678.72 is: 400,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,279.12 : 549,255.96 = 290,678.72 : x
  2. Step 2: Convert to fraction form
    398,279.12/549,255.96 = 290,678.72/x
  3. Step 3: Cross multiply
    398,279.12x = 549,255.96 × 290,678.72
  4. Step 4: Simplify right side
    398,279.12x = 159,657,019,405.17
  5. Step 5: Solve for x
    x = 159,657,019,405.17/398,279.12
  6. Step 6: Final answer
    x = 400,867.16

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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.