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Finding the Fourth Proportional to 279,014.01, 384,356 and 202,307.71

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Solution

The fourth proportional to 279,014.01, 384,356 and 202,307.71 is: 278,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,014.01 : 384,356 = 202,307.71 : x
  2. Step 2: Convert to fraction form
    279,014.01/384,356 = 202,307.71/x
  3. Step 3: Cross multiply
    279,014.01x = 384,356 × 202,307.71
  4. Step 4: Simplify right side
    279,014.01x = 77,758,182,184.76
  5. Step 5: Solve for x
    x = 77,758,182,184.76/279,014.01
  6. Step 6: Final answer
    x = 278,689.17

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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.