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Finding the Fourth Proportional to 513,019.66, 707,964.96 and 286,665.16

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Solution

The fourth proportional to 513,019.66, 707,964.96 and 286,665.16 is: 395,596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,019.66 : 707,964.96 = 286,665.16 : x
  2. Step 2: Convert to fraction form
    513,019.66/707,964.96 = 286,665.16/x
  3. Step 3: Cross multiply
    513,019.66x = 707,964.96 × 286,665.16
  4. Step 4: Simplify right side
    513,019.66x = 202,948,888,532.79
  5. Step 5: Solve for x
    x = 202,948,888,532.79/513,019.66
  6. Step 6: Final answer
    x = 395,596.71

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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.