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Finding the Fourth Proportional to 397,148.64, 548,055.36 and 227,368.32

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Solution

The fourth proportional to 397,148.64, 548,055.36 and 227,368.32 is: 313,762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,148.64 : 548,055.36 = 227,368.32 : x
  2. Step 2: Convert to fraction form
    397,148.64/548,055.36 = 227,368.32/x
  3. Step 3: Cross multiply
    397,148.64x = 548,055.36 × 227,368.32
  4. Step 4: Simplify right side
    397,148.64x = 124,610,426,470.20
  5. Step 5: Solve for x
    x = 124,610,426,470.20/397,148.64
  6. Step 6: Final answer
    x = 313,762.69

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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.