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Finding the Fourth Proportional to 398,176.68, 549,476.16 and 216,886.50

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Solution

The fourth proportional to 398,176.68, 549,476.16 and 216,886.50 is: 299,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,176.68 : 549,476.16 = 216,886.50 : x
  2. Step 2: Convert to fraction form
    398,176.68/549,476.16 = 216,886.50/x
  3. Step 3: Cross multiply
    398,176.68x = 549,476.16 × 216,886.50
  4. Step 4: Simplify right side
    398,176.68x = 119,173,961,175.84
  5. Step 5: Solve for x
    x = 119,173,961,175.84/398,176.68
  6. Step 6: Final answer
    x = 299,299.20

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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.