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Finding the Fourth Proportional to 397,988.25, 549,233.63 and 216,710.11

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Solution

The fourth proportional to 397,988.25, 549,233.63 and 216,710.11 is: 299,065.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,988.25 : 549,233.63 = 216,710.11 : x
  2. Step 2: Convert to fraction form
    397,988.25/549,233.63 = 216,710.11/x
  3. Step 3: Cross multiply
    397,988.25x = 549,233.63 × 216,710.11
  4. Step 4: Simplify right side
    397,988.25x = 119,024,479,289.45
  5. Step 5: Solve for x
    x = 119,024,479,289.45/397,988.25
  6. Step 6: Final answer
    x = 299,065.31

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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.