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Finding the Fourth Proportional to 459,902.40, 634,741.20 and 268,879.20

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Solution

The fourth proportional to 459,902.40, 634,741.20 and 268,879.20 is: 371,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,902.40 : 634,741.20 = 268,879.20 : x
  2. Step 2: Convert to fraction form
    459,902.40/634,741.20 = 268,879.20/x
  3. Step 3: Cross multiply
    459,902.40x = 634,741.20 × 268,879.20
  4. Step 4: Simplify right side
    459,902.40x = 170,668,706,063.04
  5. Step 5: Solve for x
    x = 170,668,706,063.04/459,902.40
  6. Step 6: Final answer
    x = 371,097.66

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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.