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Finding the Fourth Proportional to 459,713.87, 634,492.52 and 287,711.79

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Solution

The fourth proportional to 459,713.87, 634,492.52 and 287,711.79 is: 397,096.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,713.87 : 634,492.52 = 287,711.79 : x
  2. Step 2: Convert to fraction form
    459,713.87/634,492.52 = 287,711.79/x
  3. Step 3: Cross multiply
    459,713.87x = 634,492.52 × 287,711.79
  4. Step 4: Simplify right side
    459,713.87x = 182,550,977,232.25
  5. Step 5: Solve for x
    x = 182,550,977,232.25/459,713.87
  6. Step 6: Final answer
    x = 397,096.95

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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.