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Finding the Fourth Proportional to 513,014.64, 707,958.72 and 286,660.32

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Solution

The fourth proportional to 513,014.64, 707,958.72 and 286,660.32 is: 395,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,014.64 : 707,958.72 = 286,660.32 : x
  2. Step 2: Convert to fraction form
    513,014.64/707,958.72 = 286,660.32/x
  3. Step 3: Cross multiply
    513,014.64x = 707,958.72 × 286,660.32
  4. Step 4: Simplify right side
    513,014.64x = 202,943,673,221.99
  5. Step 5: Solve for x
    x = 202,943,673,221.99/513,014.64
  6. Step 6: Final answer
    x = 395,590.41

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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.