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Finding the Fourth Proportional to 542,328.47, 813,237.72 and 200,535.74

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Solution

The fourth proportional to 542,328.47, 813,237.72 and 200,535.74 is: 300,709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,328.47 : 813,237.72 = 200,535.74 : x
  2. Step 2: Convert to fraction form
    542,328.47/813,237.72 = 200,535.74/x
  3. Step 3: Cross multiply
    542,328.47x = 813,237.72 × 200,535.74
  4. Step 4: Simplify right side
    542,328.47x = 163,083,226,959.57
  5. Step 5: Solve for x
    x = 163,083,226,959.57/542,328.47
  6. Step 6: Final answer
    x = 300,709.32

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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.