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Finding the Fourth Proportional to 564,855, 847,632.66 and 328,309.08

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Solution

The fourth proportional to 564,855, 847,632.66 and 328,309.08 is: 492,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,855 : 847,632.66 = 328,309.08 : x
  2. Step 2: Convert to fraction form
    564,855/847,632.66 = 328,309.08/x
  3. Step 3: Cross multiply
    564,855x = 847,632.66 × 328,309.08
  4. Step 4: Simplify right side
    564,855x = 278,285,498,782.55
  5. Step 5: Solve for x
    x = 278,285,498,782.55/564,855
  6. Step 6: Final answer
    x = 492,667.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.