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Finding the Fourth Proportional to 513,072.42, 708,040.89 and 286,717.92

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Solution

The fourth proportional to 513,072.42, 708,040.89 and 286,717.92 is: 395,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,072.42 : 708,040.89 = 286,717.92 : x
  2. Step 2: Convert to fraction form
    513,072.42/708,040.89 = 286,717.92/x
  3. Step 3: Cross multiply
    513,072.42x = 708,040.89 × 286,717.92
  4. Step 4: Simplify right side
    513,072.42x = 203,008,011,255.75
  5. Step 5: Solve for x
    x = 203,008,011,255.75/513,072.42
  6. Step 6: Final answer
    x = 395,671.26

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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.