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Finding the Fourth Proportional to 479,543.76, 661,769.76 and 264,684

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Solution

The fourth proportional to 479,543.76, 661,769.76 and 264,684 is: 365,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,543.76 : 661,769.76 = 264,684 : x
  2. Step 2: Convert to fraction form
    479,543.76/661,769.76 = 264,684/x
  3. Step 3: Cross multiply
    479,543.76x = 661,769.76 × 264,684
  4. Step 4: Simplify right side
    479,543.76x = 175,159,867,155.84
  5. Step 5: Solve for x
    x = 175,159,867,155.84/479,543.76
  6. Step 6: Final answer
    x = 365,263.57

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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.