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Finding the Fourth Proportional to 398,547.12, 549,990.56 and 217,255.12

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Solution

The fourth proportional to 398,547.12, 549,990.56 and 217,255.12 is: 299,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,547.12 : 549,990.56 = 217,255.12 : x
  2. Step 2: Convert to fraction form
    398,547.12/549,990.56 = 217,255.12/x
  3. Step 3: Cross multiply
    398,547.12x = 549,990.56 × 217,255.12
  4. Step 4: Simplify right side
    398,547.12x = 119,488,265,111.67
  5. Step 5: Solve for x
    x = 119,488,265,111.67/398,547.12
  6. Step 6: Final answer
    x = 299,809.63

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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.