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Finding the Fourth Proportional to 411,661.40, 617,492.10 and 145,430.60

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Solution

The fourth proportional to 411,661.40, 617,492.10 and 145,430.60 is: 218,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,661.40 : 617,492.10 = 145,430.60 : x
  2. Step 2: Convert to fraction form
    411,661.40/617,492.10 = 145,430.60/x
  3. Step 3: Cross multiply
    411,661.40x = 617,492.10 × 145,430.60
  4. Step 4: Simplify right side
    411,661.40x = 89,802,246,598.26
  5. Step 5: Solve for x
    x = 89,802,246,598.26/411,661.40
  6. Step 6: Final answer
    x = 218,145.90

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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.