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Finding the Fourth Proportional to 513,026.64, 707,975.64 and 286,672.14

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Solution

The fourth proportional to 513,026.64, 707,975.64 and 286,672.14 is: 395,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,026.64 : 707,975.64 = 286,672.14 : x
  2. Step 2: Convert to fraction form
    513,026.64/707,975.64 = 286,672.14/x
  3. Step 3: Cross multiply
    513,026.64x = 707,975.64 × 286,672.14
  4. Step 4: Simplify right side
    513,026.64x = 202,956,891,786.67
  5. Step 5: Solve for x
    x = 202,956,891,786.67/513,026.64
  6. Step 6: Final answer
    x = 395,606.93

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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.