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Finding the Fourth Proportional to 513,644, 708,831.48 and 287,289.44

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Solution

The fourth proportional to 513,644, 708,831.48 and 287,289.44 is: 396,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,644 : 708,831.48 = 287,289.44 : x
  2. Step 2: Convert to fraction form
    513,644/708,831.48 = 287,289.44/x
  3. Step 3: Cross multiply
    513,644x = 708,831.48 × 287,289.44
  4. Step 4: Simplify right side
    513,644x = 203,639,798,943.57
  5. Step 5: Solve for x
    x = 203,639,798,943.57/513,644
  6. Step 6: Final answer
    x = 396,460.97

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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.