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Finding the Fourth Proportional to 371,783.34, 513,064.25 and 202,017.47

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Solution

The fourth proportional to 371,783.34, 513,064.25 and 202,017.47 is: 278,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,783.34 : 513,064.25 = 202,017.47 : x
  2. Step 2: Convert to fraction form
    371,783.34/513,064.25 = 202,017.47/x
  3. Step 3: Cross multiply
    371,783.34x = 513,064.25 × 202,017.47
  4. Step 4: Simplify right side
    371,783.34x = 103,647,938,157.04
  5. Step 5: Solve for x
    x = 103,647,938,157.04/371,783.34
  6. Step 6: Final answer
    x = 278,785.86

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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.