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Finding the Fourth Proportional to 509,200.59, 702,719.07 and 282,846.09

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Solution

The fourth proportional to 509,200.59, 702,719.07 and 282,846.09 is: 390,339.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,200.59 : 702,719.07 = 282,846.09 : x
  2. Step 2: Convert to fraction form
    509,200.59/702,719.07 = 282,846.09/x
  3. Step 3: Cross multiply
    509,200.59x = 702,719.07 × 282,846.09
  4. Step 4: Simplify right side
    509,200.59x = 198,761,341,317.94
  5. Step 5: Solve for x
    x = 198,761,341,317.94/509,200.59
  6. Step 6: Final answer
    x = 390,339.97

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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.