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Finding the Fourth Proportional to 409,352.40, 564,867.72 and 228,045.84

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Solution

The fourth proportional to 409,352.40, 564,867.72 and 228,045.84 is: 314,681.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,352.40 : 564,867.72 = 228,045.84 : x
  2. Step 2: Convert to fraction form
    409,352.40/564,867.72 = 228,045.84/x
  3. Step 3: Cross multiply
    409,352.40x = 564,867.72 × 228,045.84
  4. Step 4: Simplify right side
    409,352.40x = 128,815,733,696.29
  5. Step 5: Solve for x
    x = 128,815,733,696.29/409,352.40
  6. Step 6: Final answer
    x = 314,681.76

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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.