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Finding the Fourth Proportional to 398,437.72, 549,828 and 217,145.80

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Solution

The fourth proportional to 398,437.72, 549,828 and 217,145.80 is: 299,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,437.72 : 549,828 = 217,145.80 : x
  2. Step 2: Convert to fraction form
    398,437.72/549,828 = 217,145.80/x
  3. Step 3: Cross multiply
    398,437.72x = 549,828 × 217,145.80
  4. Step 4: Simplify right side
    398,437.72x = 119,392,840,922.40
  5. Step 5: Solve for x
    x = 119,392,840,922.40/398,437.72
  6. Step 6: Final answer
    x = 299,652.45

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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.