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Finding the Fourth Proportional to 409,318.67, 564,858.34 and 228,019.88

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Solution

The fourth proportional to 409,318.67, 564,858.34 and 228,019.88 is: 314,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,318.67 : 564,858.34 = 228,019.88 : x
  2. Step 2: Convert to fraction form
    409,318.67/564,858.34 = 228,019.88/x
  3. Step 3: Cross multiply
    409,318.67x = 564,858.34 × 228,019.88
  4. Step 4: Simplify right side
    409,318.67x = 128,798,927,509.46
  5. Step 5: Solve for x
    x = 128,798,927,509.46/409,318.67
  6. Step 6: Final answer
    x = 314,666.64

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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.