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Finding the Fourth Proportional to 398,889.60, 597,297.60 and 315,254.40

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Solution

The fourth proportional to 398,889.60, 597,297.60 and 315,254.40 is: 472,062.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,889.60 : 597,297.60 = 315,254.40 : x
  2. Step 2: Convert to fraction form
    398,889.60/597,297.60 = 315,254.40/x
  3. Step 3: Cross multiply
    398,889.60x = 597,297.60 × 315,254.40
  4. Step 4: Simplify right side
    398,889.60x = 188,300,696,509.44
  5. Step 5: Solve for x
    x = 188,300,696,509.44/398,889.60
  6. Step 6: Final answer
    x = 472,062.19

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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.