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Finding the Fourth Proportional to 407,496.40, 611,417.40 and 257,851.60

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Solution

The fourth proportional to 407,496.40, 611,417.40 and 257,851.60 is: 386,886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,496.40 : 611,417.40 = 257,851.60 : x
  2. Step 2: Convert to fraction form
    407,496.40/611,417.40 = 257,851.60/x
  3. Step 3: Cross multiply
    407,496.40x = 611,417.40 × 257,851.60
  4. Step 4: Simplify right side
    407,496.40x = 157,654,954,857.84
  5. Step 5: Solve for x
    x = 157,654,954,857.84/407,496.40
  6. Step 6: Final answer
    x = 386,886.74

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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.