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Finding the Fourth Proportional to 409,485.05, 614,315.06 and 143,254.25

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Solution

The fourth proportional to 409,485.05, 614,315.06 and 143,254.25 is: 214,911.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,485.05 : 614,315.06 = 143,254.25 : x
  2. Step 2: Convert to fraction form
    409,485.05/614,315.06 = 143,254.25/x
  3. Step 3: Cross multiply
    409,485.05x = 614,315.06 × 143,254.25
  4. Step 4: Simplify right side
    409,485.05x = 88,003,246,095.47
  5. Step 5: Solve for x
    x = 88,003,246,095.47/409,485.05
  6. Step 6: Final answer
    x = 214,911.99

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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.