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Finding the Fourth Proportional to 542,465.28, 813,586.71 and 205,389.63

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Solution

The fourth proportional to 542,465.28, 813,586.71 and 205,389.63 is: 308,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,465.28 : 813,586.71 = 205,389.63 : x
  2. Step 2: Convert to fraction form
    542,465.28/813,586.71 = 205,389.63/x
  3. Step 3: Cross multiply
    542,465.28x = 813,586.71 × 205,389.63
  4. Step 4: Simplify right side
    542,465.28x = 167,102,273,339.82
  5. Step 5: Solve for x
    x = 167,102,273,339.82/542,465.28
  6. Step 6: Final answer
    x = 308,042.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.