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Finding the Fourth Proportional to 527,829.85, 729,010.54 and 347,347.51

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Solution

The fourth proportional to 527,829.85, 729,010.54 and 347,347.51 is: 479,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,829.85 : 729,010.54 = 347,347.51 : x
  2. Step 2: Convert to fraction form
    527,829.85/729,010.54 = 347,347.51/x
  3. Step 3: Cross multiply
    527,829.85x = 729,010.54 × 347,347.51
  4. Step 4: Simplify right side
    527,829.85x = 253,219,995,832.76
  5. Step 5: Solve for x
    x = 253,219,995,832.76/527,829.85
  6. Step 6: Final answer
    x = 479,737.92

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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.