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Finding the Fourth Proportional to 475,881.18, 712,870.05 and 286,236.84

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Solution

The fourth proportional to 475,881.18, 712,870.05 and 286,236.84 is: 428,782.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,881.18 : 712,870.05 = 286,236.84 : x
  2. Step 2: Convert to fraction form
    475,881.18/712,870.05 = 286,236.84/x
  3. Step 3: Cross multiply
    475,881.18x = 712,870.05 × 286,236.84
  4. Step 4: Simplify right side
    475,881.18x = 204,049,670,442.64
  5. Step 5: Solve for x
    x = 204,049,670,442.64/475,881.18
  6. Step 6: Final answer
    x = 428,782.81

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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.