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Finding the Fourth Proportional to 513,017.69, 708,034.74 and 295,221.89

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Solution

The fourth proportional to 513,017.69, 708,034.74 and 295,221.89 is: 407,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,017.69 : 708,034.74 = 295,221.89 : x
  2. Step 2: Convert to fraction form
    513,017.69/708,034.74 = 295,221.89/x
  3. Step 3: Cross multiply
    513,017.69x = 708,034.74 × 295,221.89
  4. Step 4: Simplify right side
    513,017.69x = 209,027,355,898.55
  5. Step 5: Solve for x
    x = 209,027,355,898.55/513,017.69
  6. Step 6: Final answer
    x = 407,446.68

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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.