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Finding the Fourth Proportional to 459,766.40, 689,966.71 and 160,249.46

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Solution

The fourth proportional to 459,766.40, 689,966.71 and 160,249.46 is: 240,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,766.40 : 689,966.71 = 160,249.46 : x
  2. Step 2: Convert to fraction form
    459,766.40/689,966.71 = 160,249.46/x
  3. Step 3: Cross multiply
    459,766.40x = 689,966.71 × 160,249.46
  4. Step 4: Simplify right side
    459,766.40x = 110,566,788,845.02
  5. Step 5: Solve for x
    x = 110,566,788,845.02/459,766.40
  6. Step 6: Final answer
    x = 240,484.71

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