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Finding the Fourth Proportional to 527,525.66, 727,985.58 and 285,809.90

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Solution

The fourth proportional to 527,525.66, 727,985.58 and 285,809.90 is: 394,417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,525.66 : 727,985.58 = 285,809.90 : x
  2. Step 2: Convert to fraction form
    527,525.66/727,985.58 = 285,809.90/x
  3. Step 3: Cross multiply
    527,525.66x = 727,985.58 × 285,809.90
  4. Step 4: Simplify right side
    527,525.66x = 208,065,485,821.24
  5. Step 5: Solve for x
    x = 208,065,485,821.24/527,525.66
  6. Step 6: Final answer
    x = 394,417.75

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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.