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Finding the Fourth Proportional to 398,034, 549,279.06 and 216,748.08

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Solution

The fourth proportional to 398,034, 549,279.06 and 216,748.08 is: 299,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,034 : 549,279.06 = 216,748.08 : x
  2. Step 2: Convert to fraction form
    398,034/549,279.06 = 216,748.08/x
  3. Step 3: Cross multiply
    398,034x = 549,279.06 × 216,748.08
  4. Step 4: Simplify right side
    398,034x = 119,055,181,639.21
  5. Step 5: Solve for x
    x = 119,055,181,639.21/398,034
  6. Step 6: Final answer
    x = 299,108.07

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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.