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Finding the Fourth Proportional to 371,778.84, 513,053.74 and 202,012.92

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Solution

The fourth proportional to 371,778.84, 513,053.74 and 202,012.92 is: 278,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,778.84 : 513,053.74 = 202,012.92 : x
  2. Step 2: Convert to fraction form
    371,778.84/513,053.74 = 202,012.92/x
  3. Step 3: Cross multiply
    371,778.84x = 513,053.74 × 202,012.92
  4. Step 4: Simplify right side
    371,778.84x = 103,643,484,134.32
  5. Step 5: Solve for x
    x = 103,643,484,134.32/371,778.84
  6. Step 6: Final answer
    x = 278,777.25

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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.