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Finding the Fourth Proportional to 653,875.20, 902,419.20 and 399,225.60

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Solution

The fourth proportional to 653,875.20, 902,419.20 and 399,225.60 is: 550,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,875.20 : 902,419.20 = 399,225.60 : x
  2. Step 2: Convert to fraction form
    653,875.20/902,419.20 = 399,225.60/x
  3. Step 3: Cross multiply
    653,875.20x = 902,419.20 × 399,225.60
  4. Step 4: Simplify right side
    653,875.20x = 360,268,846,571.52
  5. Step 5: Solve for x
    x = 360,268,846,571.52/653,875.20
  6. Step 6: Final answer
    x = 550,974.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.