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Finding the Fourth Proportional to 386,069.52, 578,307.20 and 286,342.32

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Solution

The fourth proportional to 386,069.52, 578,307.20 and 286,342.32 is: 428,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,069.52 : 578,307.20 = 286,342.32 : x
  2. Step 2: Convert to fraction form
    386,069.52/578,307.20 = 286,342.32/x
  3. Step 3: Cross multiply
    386,069.52x = 578,307.20 × 286,342.32
  4. Step 4: Simplify right side
    386,069.52x = 165,593,825,320.70
  5. Step 5: Solve for x
    x = 165,593,825,320.70/386,069.52
  6. Step 6: Final answer
    x = 428,922.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.