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Finding the Fourth Proportional to 509,187.09, 702,700.43 and 282,832.59

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Solution

The fourth proportional to 509,187.09, 702,700.43 and 282,832.59 is: 390,321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,187.09 : 702,700.43 = 282,832.59 : x
  2. Step 2: Convert to fraction form
    509,187.09/702,700.43 = 282,832.59/x
  3. Step 3: Cross multiply
    509,187.09x = 702,700.43 × 282,832.59
  4. Step 4: Simplify right side
    509,187.09x = 198,746,581,196.85
  5. Step 5: Solve for x
    x = 198,746,581,196.85/509,187.09
  6. Step 6: Final answer
    x = 390,321.33

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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.