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Finding the Fourth Proportional to 509,107.50, 702,582.93 and 282,767.58

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Solution

The fourth proportional to 509,107.50, 702,582.93 and 282,767.58 is: 390,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,107.50 : 702,582.93 = 282,767.58 : x
  2. Step 2: Convert to fraction form
    509,107.50/702,582.93 = 282,767.58/x
  3. Step 3: Cross multiply
    509,107.50x = 702,582.93 × 282,767.58
  4. Step 4: Simplify right side
    509,107.50x = 198,667,674,865.41
  5. Step 5: Solve for x
    x = 198,667,674,865.41/509,107.50
  6. Step 6: Final answer
    x = 390,227.36

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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.