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Finding the Fourth Proportional to 527,565.98, 728,040.06 and 285,855.10

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Solution

The fourth proportional to 527,565.98, 728,040.06 and 285,855.10 is: 394,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,565.98 : 728,040.06 = 285,855.10 : x
  2. Step 2: Convert to fraction form
    527,565.98/728,040.06 = 285,855.10/x
  3. Step 3: Cross multiply
    527,565.98x = 728,040.06 × 285,855.10
  4. Step 4: Simplify right side
    527,565.98x = 208,113,964,155.31
  5. Step 5: Solve for x
    x = 208,113,964,155.31/527,565.98
  6. Step 6: Final answer
    x = 394,479.50

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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.