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Finding the Fourth Proportional to 304,842.80, 457,264.20 and 186,647.60

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Solution

The fourth proportional to 304,842.80, 457,264.20 and 186,647.60 is: 279,971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,842.80 : 457,264.20 = 186,647.60 : x
  2. Step 2: Convert to fraction form
    304,842.80/457,264.20 = 186,647.60/x
  3. Step 3: Cross multiply
    304,842.80x = 457,264.20 × 186,647.60
  4. Step 4: Simplify right side
    304,842.80x = 85,347,265,495.92
  5. Step 5: Solve for x
    x = 85,347,265,495.92/304,842.80
  6. Step 6: Final answer
    x = 279,971.40

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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.