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Finding the Fourth Proportional to 209,633.52, 289,146.06 and 202,690.20

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Solution

The fourth proportional to 209,633.52, 289,146.06 and 202,690.20 is: 279,569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,633.52 : 289,146.06 = 202,690.20 : x
  2. Step 2: Convert to fraction form
    209,633.52/289,146.06 = 202,690.20/x
  3. Step 3: Cross multiply
    209,633.52x = 289,146.06 × 202,690.20
  4. Step 4: Simplify right side
    209,633.52x = 58,607,072,730.61
  5. Step 5: Solve for x
    x = 58,607,072,730.61/209,633.52
  6. Step 6: Final answer
    x = 279,569.19

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1.5x scale

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.