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Finding the Fourth Proportional to 370,030.28, 510,583.38 and 217,057.64

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Solution

The fourth proportional to 370,030.28, 510,583.38 and 217,057.64 is: 299,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,030.28 : 510,583.38 = 217,057.64 : x
  2. Step 2: Convert to fraction form
    370,030.28/510,583.38 = 217,057.64/x
  3. Step 3: Cross multiply
    370,030.28x = 510,583.38 × 217,057.64
  4. Step 4: Simplify right side
    370,030.28x = 110,826,023,486.02
  5. Step 5: Solve for x
    x = 110,826,023,486.02/370,030.28
  6. Step 6: Final answer
    x = 299,505.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.