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Finding the Fourth Proportional to 398,307.60, 549,657.57 and 217,021.02

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Solution

The fourth proportional to 398,307.60, 549,657.57 and 217,021.02 is: 299,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,307.60 : 549,657.57 = 217,021.02 : x
  2. Step 2: Convert to fraction form
    398,307.60/549,657.57 = 217,021.02/x
  3. Step 3: Cross multiply
    398,307.60x = 549,657.57 × 217,021.02
  4. Step 4: Simplify right side
    398,307.60x = 119,287,247,726.18
  5. Step 5: Solve for x
    x = 119,287,247,726.18/398,307.60
  6. Step 6: Final answer
    x = 299,485.24

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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.