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Finding the Fourth Proportional to 409,600.51, 614,521.74 and 210,060.69

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Solution

The fourth proportional to 409,600.51, 614,521.74 and 210,060.69 is: 315,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,600.51 : 614,521.74 = 210,060.69 : x
  2. Step 2: Convert to fraction form
    409,600.51/614,521.74 = 210,060.69/x
  3. Step 3: Cross multiply
    409,600.51x = 614,521.74 × 210,060.69
  4. Step 4: Simplify right side
    409,600.51x = 129,086,860,724.40
  5. Step 5: Solve for x
    x = 129,086,860,724.40/409,600.51
  6. Step 6: Final answer
    x = 315,153.08

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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.