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Finding the Fourth Proportional to 486,459.35, 726,495.19 and 414,616.40

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Solution

The fourth proportional to 486,459.35, 726,495.19 and 414,616.40 is: 619,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,459.35 : 726,495.19 = 414,616.40 : x
  2. Step 2: Convert to fraction form
    486,459.35/726,495.19 = 414,616.40/x
  3. Step 3: Cross multiply
    486,459.35x = 726,495.19 × 414,616.40
  4. Step 4: Simplify right side
    486,459.35x = 301,216,821,074.81
  5. Step 5: Solve for x
    x = 301,216,821,074.81/486,459.35
  6. Step 6: Final answer
    x = 619,202.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.