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Finding the Fourth Proportional to 370,029.28, 510,582 and 217,056.64

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Solution

The fourth proportional to 370,029.28, 510,582 and 217,056.64 is: 299,503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,029.28 : 510,582 = 217,056.64 : x
  2. Step 2: Convert to fraction form
    370,029.28/510,582 = 217,056.64/x
  3. Step 3: Cross multiply
    370,029.28x = 510,582 × 217,056.64
  4. Step 4: Simplify right side
    370,029.28x = 110,825,213,364.48
  5. Step 5: Solve for x
    x = 110,825,213,364.48/370,029.28
  6. Step 6: Final answer
    x = 299,503.90

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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.