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Finding the Fourth Proportional to 513,501.44, 708,618.71 and 284,052.74

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Solution

The fourth proportional to 513,501.44, 708,618.71 and 284,052.74 is: 391,985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,501.44 : 708,618.71 = 284,052.74 : x
  2. Step 2: Convert to fraction form
    513,501.44/708,618.71 = 284,052.74/x
  3. Step 3: Cross multiply
    513,501.44x = 708,618.71 × 284,052.74
  4. Step 4: Simplify right side
    513,501.44x = 201,285,083,357.80
  5. Step 5: Solve for x
    x = 201,285,083,357.80/513,501.44
  6. Step 6: Final answer
    x = 391,985.43

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1.5x scale

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.