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Finding the Fourth Proportional to 509,303.49, 702,836.47 and 279,875.04

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Solution

The fourth proportional to 509,303.49, 702,836.47 and 279,875.04 is: 386,226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,303.49 : 702,836.47 = 279,875.04 : x
  2. Step 2: Convert to fraction form
    509,303.49/702,836.47 = 279,875.04/x
  3. Step 3: Cross multiply
    509,303.49x = 702,836.47 × 279,875.04
  4. Step 4: Simplify right side
    509,303.49x = 196,706,384,455.02
  5. Step 5: Solve for x
    x = 196,706,384,455.02/509,303.49
  6. Step 6: Final answer
    x = 386,226.26

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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.