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Finding the Fourth Proportional to 398,141.82, 549,973.17 and 318,130.38

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Solution

The fourth proportional to 398,141.82, 549,973.17 and 318,130.38 is: 439,449.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,141.82 : 549,973.17 = 318,130.38 : x
  2. Step 2: Convert to fraction form
    398,141.82/549,973.17 = 318,130.38/x
  3. Step 3: Cross multiply
    398,141.82x = 549,973.17 × 318,130.38
  4. Step 4: Simplify right side
    398,141.82x = 174,963,173,561.91
  5. Step 5: Solve for x
    x = 174,963,173,561.91/398,141.82
  6. Step 6: Final answer
    x = 439,449.37

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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.