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Finding the Fourth Proportional to 459,708.68, 634,485.35 and 287,706.60

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Solution

The fourth proportional to 459,708.68, 634,485.35 and 287,706.60 is: 397,089.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,708.68 : 634,485.35 = 287,706.60 : x
  2. Step 2: Convert to fraction form
    459,708.68/634,485.35 = 287,706.60/x
  3. Step 3: Cross multiply
    459,708.68x = 634,485.35 × 287,706.60
  4. Step 4: Simplify right side
    459,708.68x = 182,545,623,517.58
  5. Step 5: Solve for x
    x = 182,545,623,517.58/459,708.68
  6. Step 6: Final answer
    x = 397,089.79

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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.