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Finding the Fourth Proportional to 371,784.62, 513,065.85 and 202,018.74

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Solution

The fourth proportional to 371,784.62, 513,065.85 and 202,018.74 is: 278,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,784.62 : 513,065.85 = 202,018.74 : x
  2. Step 2: Convert to fraction form
    371,784.62/513,065.85 = 202,018.74/x
  3. Step 3: Cross multiply
    371,784.62x = 513,065.85 × 202,018.74
  4. Step 4: Simplify right side
    371,784.62x = 103,648,918,225.50
  5. Step 5: Solve for x
    x = 103,648,918,225.50/371,784.62
  6. Step 6: Final answer
    x = 278,787.54

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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.