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Finding the Fourth Proportional to 411,417.09, 617,153.31 and 158,699.67

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Solution

The fourth proportional to 411,417.09, 617,153.31 and 158,699.67 is: 238,060.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,417.09 : 617,153.31 = 158,699.67 : x
  2. Step 2: Convert to fraction form
    411,417.09/617,153.31 = 158,699.67/x
  3. Step 3: Cross multiply
    411,417.09x = 617,153.31 × 158,699.67
  4. Step 4: Simplify right side
    411,417.09x = 97,942,027,793.57
  5. Step 5: Solve for x
    x = 97,942,027,793.57/411,417.09
  6. Step 6: Final answer
    x = 238,060.18

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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.