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Finding the Fourth Proportional to 527,483.06, 727,926.93 and 285,767.32

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Solution

The fourth proportional to 527,483.06, 727,926.93 and 285,767.32 is: 394,359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,483.06 : 727,926.93 = 285,767.32 : x
  2. Step 2: Convert to fraction form
    527,483.06/727,926.93 = 285,767.32/x
  3. Step 3: Cross multiply
    527,483.06x = 727,926.93 × 285,767.32
  4. Step 4: Simplify right side
    527,483.06x = 208,017,726,122.11
  5. Step 5: Solve for x
    x = 208,017,726,122.11/527,483.06
  6. Step 6: Final answer
    x = 394,359.06

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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.