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Finding the Fourth Proportional to 416,188.40, 624,282.60 and 402,410.30

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Solution

The fourth proportional to 416,188.40, 624,282.60 and 402,410.30 is: 603,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,188.40 : 624,282.60 = 402,410.30 : x
  2. Step 2: Convert to fraction form
    416,188.40/624,282.60 = 402,410.30/x
  3. Step 3: Cross multiply
    416,188.40x = 624,282.60 × 402,410.30
  4. Step 4: Simplify right side
    416,188.40x = 251,217,748,350.78
  5. Step 5: Solve for x
    x = 251,217,748,350.78/416,188.40
  6. Step 6: Final answer
    x = 603,615.45

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1.5x scale

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.