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Finding the Fourth Proportional to 502,079.32, 692,698.32 and 320,895.82

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Solution

The fourth proportional to 502,079.32, 692,698.32 and 320,895.82 is: 442,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,079.32 : 692,698.32 = 320,895.82 : x
  2. Step 2: Convert to fraction form
    502,079.32/692,698.32 = 320,895.82/x
  3. Step 3: Cross multiply
    502,079.32x = 692,698.32 × 320,895.82
  4. Step 4: Simplify right side
    502,079.32x = 222,283,995,409.02
  5. Step 5: Solve for x
    x = 222,283,995,409.02/502,079.32
  6. Step 6: Final answer
    x = 442,726.85

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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.