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Finding the Fourth Proportional to 503,352.31, 694,642.50 and 288,533.02

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Solution

The fourth proportional to 503,352.31, 694,642.50 and 288,533.02 is: 398,184.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,352.31 : 694,642.50 = 288,533.02 : x
  2. Step 2: Convert to fraction form
    503,352.31/694,642.50 = 288,533.02/x
  3. Step 3: Cross multiply
    503,352.31x = 694,642.50 × 288,533.02
  4. Step 4: Simplify right side
    503,352.31x = 200,427,298,345.35
  5. Step 5: Solve for x
    x = 200,427,298,345.35/503,352.31
  6. Step 6: Final answer
    x = 398,184.92

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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.