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Finding the Fourth Proportional to 340,496.40, 510,744.60 and 216,387.60

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Solution

The fourth proportional to 340,496.40, 510,744.60 and 216,387.60 is: 324,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,496.40 : 510,744.60 = 216,387.60 : x
  2. Step 2: Convert to fraction form
    340,496.40/510,744.60 = 216,387.60/x
  3. Step 3: Cross multiply
    340,496.40x = 510,744.60 × 216,387.60
  4. Step 4: Simplify right side
    340,496.40x = 110,518,798,206.96
  5. Step 5: Solve for x
    x = 110,518,798,206.96/340,496.40
  6. Step 6: Final answer
    x = 324,581.40

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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.