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Finding the Fourth Proportional to 529,060.23, 729,605.79 and 408,009.78

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Solution

The fourth proportional to 529,060.23, 729,605.79 and 408,009.78 is: 562,669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,060.23 : 729,605.79 = 408,009.78 : x
  2. Step 2: Convert to fraction form
    529,060.23/729,605.79 = 408,009.78/x
  3. Step 3: Cross multiply
    529,060.23x = 729,605.79 × 408,009.78
  4. Step 4: Simplify right side
    529,060.23x = 297,686,297,864.63
  5. Step 5: Solve for x
    x = 297,686,297,864.63/529,060.23
  6. Step 6: Final answer
    x = 562,669.96

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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.