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Finding the Fourth Proportional to 466,209.76, 643,419.36 and 285,028

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Solution

The fourth proportional to 466,209.76, 643,419.36 and 285,028 is: 393,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,209.76 : 643,419.36 = 285,028 : x
  2. Step 2: Convert to fraction form
    466,209.76/643,419.36 = 285,028/x
  3. Step 3: Cross multiply
    466,209.76x = 643,419.36 × 285,028
  4. Step 4: Simplify right side
    466,209.76x = 183,392,533,342.08
  5. Step 5: Solve for x
    x = 183,392,533,342.08/466,209.76
  6. Step 6: Final answer
    x = 393,369.14

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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.