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Finding the Fourth Proportional to 398,415.06, 549,796.75 and 217,123.10

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Solution

The fourth proportional to 398,415.06, 549,796.75 and 217,123.10 is: 299,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,415.06 : 549,796.75 = 217,123.10 : x
  2. Step 2: Convert to fraction form
    398,415.06/549,796.75 = 217,123.10/x
  3. Step 3: Cross multiply
    398,415.06x = 549,796.75 × 217,123.10
  4. Step 4: Simplify right side
    398,415.06x = 119,373,574,729.93
  5. Step 5: Solve for x
    x = 119,373,574,729.93/398,415.06
  6. Step 6: Final answer
    x = 299,621.14

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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.