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Finding the Fourth Proportional to 527,312.18, 727,703.26 and 300,978.74

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Solution

The fourth proportional to 527,312.18, 727,703.26 and 300,978.74 is: 415,357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,312.18 : 727,703.26 = 300,978.74 : x
  2. Step 2: Convert to fraction form
    527,312.18/727,703.26 = 300,978.74/x
  3. Step 3: Cross multiply
    527,312.18x = 727,703.26 × 300,978.74
  4. Step 4: Simplify right side
    527,312.18x = 219,023,210,288.69
  5. Step 5: Solve for x
    x = 219,023,210,288.69/527,312.18
  6. Step 6: Final answer
    x = 415,357.77

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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.