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Finding the Fourth Proportional to 457,191.64, 630,934.68 and 260,954.20

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Solution

The fourth proportional to 457,191.64, 630,934.68 and 260,954.20 is: 360,122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,191.64 : 630,934.68 = 260,954.20 : x
  2. Step 2: Convert to fraction form
    457,191.64/630,934.68 = 260,954.20/x
  3. Step 3: Cross multiply
    457,191.64x = 630,934.68 × 260,954.20
  4. Step 4: Simplify right side
    457,191.64x = 164,645,054,671.66
  5. Step 5: Solve for x
    x = 164,645,054,671.66/457,191.64
  6. Step 6: Final answer
    x = 360,122.63

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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.