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Finding the Fourth Proportional to 457,189, 630,921.06 and 255,989.32

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Solution

The fourth proportional to 457,189, 630,921.06 and 255,989.32 is: 353,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,189 : 630,921.06 = 255,989.32 : x
  2. Step 2: Convert to fraction form
    457,189/630,921.06 = 255,989.32/x
  3. Step 3: Cross multiply
    457,189x = 630,921.06 × 255,989.32
  4. Step 4: Simplify right side
    457,189x = 161,509,053,123.08
  5. Step 5: Solve for x
    x = 161,509,053,123.08/457,189
  6. Step 6: Final answer
    x = 353,265.40

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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.