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Finding the Fourth Proportional to 370,274.54, 510,997.47 and 217,319.36

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Solution

The fourth proportional to 370,274.54, 510,997.47 and 217,319.36 is: 299,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,274.54 : 510,997.47 = 217,319.36 : x
  2. Step 2: Convert to fraction form
    370,274.54/510,997.47 = 217,319.36/x
  3. Step 3: Cross multiply
    370,274.54x = 510,997.47 × 217,319.36
  4. Step 4: Simplify right side
    370,274.54x = 111,049,643,142.02
  5. Step 5: Solve for x
    x = 111,049,643,142.02/370,274.54
  6. Step 6: Final answer
    x = 299,911.64

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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.