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Finding the Fourth Proportional to 288,663, 398,368.84 and 159,599.10

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Solution

The fourth proportional to 288,663, 398,368.84 and 159,599.10 is: 220,254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,663 : 398,368.84 = 159,599.10 : x
  2. Step 2: Convert to fraction form
    288,663/398,368.84 = 159,599.10/x
  3. Step 3: Cross multiply
    288,663x = 398,368.84 × 159,599.10
  4. Step 4: Simplify right side
    288,663x = 63,579,308,332.04
  5. Step 5: Solve for x
    x = 63,579,308,332.04/288,663
  6. Step 6: Final answer
    x = 220,254.44

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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.