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Finding the Fourth Proportional to 509,384.16, 702,936.24 and 283,023.84

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Solution

The fourth proportional to 509,384.16, 702,936.24 and 283,023.84 is: 390,565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,384.16 : 702,936.24 = 283,023.84 : x
  2. Step 2: Convert to fraction form
    509,384.16/702,936.24 = 283,023.84/x
  3. Step 3: Cross multiply
    509,384.16x = 702,936.24 × 283,023.84
  4. Step 4: Simplify right side
    509,384.16x = 198,947,713,919.96
  5. Step 5: Solve for x
    x = 198,947,713,919.96/509,384.16
  6. Step 6: Final answer
    x = 390,565.18

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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.