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Finding the Fourth Proportional to 398,020.64, 549,307.28 and 297,243.68

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Solution

The fourth proportional to 398,020.64, 549,307.28 and 297,243.68 is: 410,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,020.64 : 549,307.28 = 297,243.68 : x
  2. Step 2: Convert to fraction form
    398,020.64/549,307.28 = 297,243.68/x
  3. Step 3: Cross multiply
    398,020.64x = 549,307.28 × 297,243.68
  4. Step 4: Simplify right side
    398,020.64x = 163,278,117,357.99
  5. Step 5: Solve for x
    x = 163,278,117,357.99/398,020.64
  6. Step 6: Final answer
    x = 410,225.25

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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.