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Finding the Fourth Proportional to 502,017.75, 692,821.55 and 311,068.35

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Solution

The fourth proportional to 502,017.75, 692,821.55 and 311,068.35 is: 429,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,017.75 : 692,821.55 = 311,068.35 : x
  2. Step 2: Convert to fraction form
    502,017.75/692,821.55 = 311,068.35/x
  3. Step 3: Cross multiply
    502,017.75x = 692,821.55 × 311,068.35
  4. Step 4: Simplify right side
    502,017.75x = 215,514,857,180.61
  5. Step 5: Solve for x
    x = 215,514,857,180.61/502,017.75
  6. Step 6: Final answer
    x = 429,297.29

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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.