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Finding the Fourth Proportional to 459,470.95, 689,115.54 and 436,685.74

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Solution

The fourth proportional to 459,470.95, 689,115.54 and 436,685.74 is: 654,942.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,470.95 : 689,115.54 = 436,685.74 : x
  2. Step 2: Convert to fraction form
    459,470.95/689,115.54 = 436,685.74/x
  3. Step 3: Cross multiply
    459,470.95x = 689,115.54 × 436,685.74
  4. Step 4: Simplify right side
    459,470.95x = 300,926,929,530.40
  5. Step 5: Solve for x
    x = 300,926,929,530.40/459,470.95
  6. Step 6: Final answer
    x = 654,942.23

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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.