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Finding the Fourth Proportional to 665,778.90, 998,405.72 and 286,728.06

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Solution

The fourth proportional to 665,778.90, 998,405.72 and 286,728.06 is: 429,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,778.90 : 998,405.72 = 286,728.06 : x
  2. Step 2: Convert to fraction form
    665,778.90/998,405.72 = 286,728.06/x
  3. Step 3: Cross multiply
    665,778.90x = 998,405.72 × 286,728.06
  4. Step 4: Simplify right side
    665,778.90x = 286,270,935,188.50
  5. Step 5: Solve for x
    x = 286,270,935,188.50/665,778.90
  6. Step 6: Final answer
    x = 429,978.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.