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Finding the Fourth Proportional to 527,886, 728,483.76 and 301,530.96

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Solution

The fourth proportional to 527,886, 728,483.76 and 301,530.96 is: 416,113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,886 : 728,483.76 = 301,530.96 : x
  2. Step 2: Convert to fraction form
    527,886/728,483.76 = 301,530.96/x
  3. Step 3: Cross multiply
    527,886x = 728,483.76 × 301,530.96
  4. Step 4: Simplify right side
    527,886x = 219,660,407,497.21
  5. Step 5: Solve for x
    x = 219,660,407,497.21/527,886
  6. Step 6: Final answer
    x = 416,113.34

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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.