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Finding the Fourth Proportional to 398,055.47, 549,327.02 and 216,775.04

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Solution

The fourth proportional to 398,055.47, 549,327.02 and 216,775.04 is: 299,155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,055.47 : 549,327.02 = 216,775.04 : x
  2. Step 2: Convert to fraction form
    398,055.47/549,327.02 = 216,775.04/x
  3. Step 3: Cross multiply
    398,055.47x = 549,327.02 × 216,775.04
  4. Step 4: Simplify right side
    398,055.47x = 119,080,382,903.07
  5. Step 5: Solve for x
    x = 119,080,382,903.07/398,055.47
  6. Step 6: Final answer
    x = 299,155.25

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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.