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Finding the Fourth Proportional to 513,242.39, 708,236.62 and 283,802.72

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Solution

The fourth proportional to 513,242.39, 708,236.62 and 283,802.72 is: 391,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,242.39 : 708,236.62 = 283,802.72 : x
  2. Step 2: Convert to fraction form
    513,242.39/708,236.62 = 283,802.72/x
  3. Step 3: Cross multiply
    513,242.39x = 708,236.62 × 283,802.72
  4. Step 4: Simplify right side
    513,242.39x = 200,999,474,908.92
  5. Step 5: Solve for x
    x = 200,999,474,908.92/513,242.39
  6. Step 6: Final answer
    x = 391,626.80

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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.