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Finding the Fourth Proportional to 527,815.30, 728,482.62 and 301,460.80

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Solution

The fourth proportional to 527,815.30, 728,482.62 and 301,460.80 is: 416,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,815.30 : 728,482.62 = 301,460.80 : x
  2. Step 2: Convert to fraction form
    527,815.30/728,482.62 = 301,460.80/x
  3. Step 3: Cross multiply
    527,815.30x = 728,482.62 × 301,460.80
  4. Step 4: Simplify right side
    527,815.30x = 219,608,953,411.30
  5. Step 5: Solve for x
    x = 219,608,953,411.30/527,815.30
  6. Step 6: Final answer
    x = 416,071.59

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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.