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Finding the Fourth Proportional to 502,148.34, 692,764.38 and 320,813.28

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Solution

The fourth proportional to 502,148.34, 692,764.38 and 320,813.28 is: 442,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,148.34 : 692,764.38 = 320,813.28 : x
  2. Step 2: Convert to fraction form
    502,148.34/692,764.38 = 320,813.28/x
  3. Step 3: Cross multiply
    502,148.34x = 692,764.38 × 320,813.28
  4. Step 4: Simplify right side
    502,148.34x = 222,248,013,014.97
  5. Step 5: Solve for x
    x = 222,248,013,014.97/502,148.34
  6. Step 6: Final answer
    x = 442,594.34

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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.