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Finding the Fourth Proportional to 513,374.46, 708,172.33 and 298,490.77

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Solution

The fourth proportional to 513,374.46, 708,172.33 and 298,490.77 is: 411,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,374.46 : 708,172.33 = 298,490.77 : x
  2. Step 2: Convert to fraction form
    513,374.46/708,172.33 = 298,490.77/x
  3. Step 3: Cross multiply
    513,374.46x = 708,172.33 × 298,490.77
  4. Step 4: Simplify right side
    513,374.46x = 211,382,904,074.39
  5. Step 5: Solve for x
    x = 211,382,904,074.39/513,374.46
  6. Step 6: Final answer
    x = 411,751.89

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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.