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Finding the Fourth Proportional to 409,098, 564,554.64 and 227,825.80

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Solution

The fourth proportional to 409,098, 564,554.64 and 227,825.80 is: 314,399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,098 : 564,554.64 = 227,825.80 : x
  2. Step 2: Convert to fraction form
    409,098/564,554.64 = 227,825.80/x
  3. Step 3: Cross multiply
    409,098x = 564,554.64 × 227,825.80
  4. Step 4: Simplify right side
    409,098x = 128,620,112,501.71
  5. Step 5: Solve for x
    x = 128,620,112,501.71/409,098
  6. Step 6: Final answer
    x = 314,399.27

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1.5x scale

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.