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Finding the Fourth Proportional to 429,501.51, 643,967.91 and 204,896.61

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Solution

The fourth proportional to 429,501.51, 643,967.91 and 204,896.61 is: 307,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,501.51 : 643,967.91 = 204,896.61 : x
  2. Step 2: Convert to fraction form
    429,501.51/643,967.91 = 204,896.61/x
  3. Step 3: Cross multiply
    429,501.51x = 643,967.91 × 204,896.61
  4. Step 4: Simplify right side
    429,501.51x = 131,946,841,707.79
  5. Step 5: Solve for x
    x = 131,946,841,707.79/429,501.51
  6. Step 6: Final answer
    x = 307,209.26

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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.