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Finding the Fourth Proportional to 411,603.12, 617,478.12 and 145,518.12

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Solution

The fourth proportional to 411,603.12, 617,478.12 and 145,518.12 is: 218,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,603.12 : 617,478.12 = 145,518.12 : x
  2. Step 2: Convert to fraction form
    411,603.12/617,478.12 = 145,518.12/x
  3. Step 3: Cross multiply
    411,603.12x = 617,478.12 × 145,518.12
  4. Step 4: Simplify right side
    411,603.12x = 89,854,255,163.53
  5. Step 5: Solve for x
    x = 89,854,255,163.53/411,603.12
  6. Step 6: Final answer
    x = 218,303.14

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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.