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Finding the Fourth Proportional to 461,357.60, 636,672.61 and 257,396.38

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Solution

The fourth proportional to 461,357.60, 636,672.61 and 257,396.38 is: 355,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,357.60 : 636,672.61 = 257,396.38 : x
  2. Step 2: Convert to fraction form
    461,357.60/636,672.61 = 257,396.38/x
  3. Step 3: Cross multiply
    461,357.60x = 636,672.61 × 257,396.38
  4. Step 4: Simplify right side
    461,357.60x = 163,877,225,922.65
  5. Step 5: Solve for x
    x = 163,877,225,922.65/461,357.60
  6. Step 6: Final answer
    x = 355,206.52

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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.