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Finding the Fourth Proportional to 409,494.60, 614,382 and 249,890.52

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Solution

The fourth proportional to 409,494.60, 614,382 and 249,890.52 is: 374,921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,494.60 : 614,382 = 249,890.52 : x
  2. Step 2: Convert to fraction form
    409,494.60/614,382 = 249,890.52/x
  3. Step 3: Cross multiply
    409,494.60x = 614,382 × 249,890.52
  4. Step 4: Simplify right side
    409,494.60x = 153,528,237,458.64
  5. Step 5: Solve for x
    x = 153,528,237,458.64/409,494.60
  6. Step 6: Final answer
    x = 374,921.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.