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Finding the Fourth Proportional to 409,203.63, 564,718.53 and 227,915.61

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Solution

The fourth proportional to 409,203.63, 564,718.53 and 227,915.61 is: 314,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,203.63 : 564,718.53 = 227,915.61 : x
  2. Step 2: Convert to fraction form
    409,203.63/564,718.53 = 227,915.61/x
  3. Step 3: Cross multiply
    409,203.63x = 564,718.53 × 227,915.61
  4. Step 4: Simplify right side
    409,203.63x = 128,708,166,980.24
  5. Step 5: Solve for x
    x = 128,708,166,980.24/409,203.63
  6. Step 6: Final answer
    x = 314,533.30

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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.