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Finding the Fourth Proportional to 520,193.75, 780,246.27 and 204,649.74

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Solution

The fourth proportional to 520,193.75, 780,246.27 and 204,649.74 is: 306,957.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,193.75 : 780,246.27 = 204,649.74 : x
  2. Step 2: Convert to fraction form
    520,193.75/780,246.27 = 204,649.74/x
  3. Step 3: Cross multiply
    520,193.75x = 780,246.27 × 204,649.74
  4. Step 4: Simplify right side
    520,193.75x = 159,677,196,291.47
  5. Step 5: Solve for x
    x = 159,677,196,291.47/520,193.75
  6. Step 6: Final answer
    x = 306,957.16

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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.