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Finding the Fourth Proportional to 428,390.92, 641,564.93 and 248,095.40

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Solution

The fourth proportional to 428,390.92, 641,564.93 and 248,095.40 is: 371,551.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,390.92 : 641,564.93 = 248,095.40 : x
  2. Step 2: Convert to fraction form
    428,390.92/641,564.93 = 248,095.40/x
  3. Step 3: Cross multiply
    428,390.92x = 641,564.93 × 248,095.40
  4. Step 4: Simplify right side
    428,390.92x = 159,169,307,934.32
  5. Step 5: Solve for x
    x = 159,169,307,934.32/428,390.92
  6. Step 6: Final answer
    x = 371,551.54

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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.