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Finding the Fourth Proportional to 409,319.67, 564,859.72 and 228,020.88

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Solution

The fourth proportional to 409,319.67, 564,859.72 and 228,020.88 is: 314,668.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,319.67 : 564,859.72 = 228,020.88 : x
  2. Step 2: Convert to fraction form
    409,319.67/564,859.72 = 228,020.88/x
  3. Step 3: Cross multiply
    409,319.67x = 564,859.72 × 228,020.88
  4. Step 4: Simplify right side
    409,319.67x = 128,799,810,430.95
  5. Step 5: Solve for x
    x = 128,799,810,430.95/409,319.67
  6. Step 6: Final answer
    x = 314,668.02

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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.