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Finding the Fourth Proportional to 527,902.97, 728,509.82 and 286,189.34

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Solution

The fourth proportional to 527,902.97, 728,509.82 and 286,189.34 is: 394,943.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,902.97 : 728,509.82 = 286,189.34 : x
  2. Step 2: Convert to fraction form
    527,902.97/728,509.82 = 286,189.34/x
  3. Step 3: Cross multiply
    527,902.97x = 728,509.82 × 286,189.34
  4. Step 4: Simplify right side
    527,902.97x = 208,491,739,495.82
  5. Step 5: Solve for x
    x = 208,491,739,495.82/527,902.97
  6. Step 6: Final answer
    x = 394,943.30

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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.