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Finding the Fourth Proportional to 502,115.67, 692,615.34 and 298,032.12

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Solution

The fourth proportional to 502,115.67, 692,615.34 and 298,032.12 is: 411,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,115.67 : 692,615.34 = 298,032.12 : x
  2. Step 2: Convert to fraction form
    502,115.67/692,615.34 = 298,032.12/x
  3. Step 3: Cross multiply
    502,115.67x = 692,615.34 × 298,032.12
  4. Step 4: Simplify right side
    502,115.67x = 206,421,618,124.72
  5. Step 5: Solve for x
    x = 206,421,618,124.72/502,115.67
  6. Step 6: Final answer
    x = 411,103.72

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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.