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Finding the Fourth Proportional to 527,907.78, 728,341.47 and 298,442.88

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Solution

The fourth proportional to 527,907.78, 728,341.47 and 298,442.88 is: 411,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,907.78 : 728,341.47 = 298,442.88 : x
  2. Step 2: Convert to fraction form
    527,907.78/728,341.47 = 298,442.88/x
  3. Step 3: Cross multiply
    527,907.78x = 728,341.47 × 298,442.88
  4. Step 4: Simplify right side
    527,907.78x = 217,368,325,930.23
  5. Step 5: Solve for x
    x = 217,368,325,930.23/527,907.78
  6. Step 6: Final answer
    x = 411,754.35

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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.