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Finding the Fourth Proportional to 509,145.12, 702,601.56 and 282,805.20

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Solution

The fourth proportional to 509,145.12, 702,601.56 and 282,805.20 is: 390,260.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,145.12 : 702,601.56 = 282,805.20 : x
  2. Step 2: Convert to fraction form
    509,145.12/702,601.56 = 282,805.20/x
  3. Step 3: Cross multiply
    509,145.12x = 702,601.56 × 282,805.20
  4. Step 4: Simplify right side
    509,145.12x = 198,699,374,696.11
  5. Step 5: Solve for x
    x = 198,699,374,696.11/509,145.12
  6. Step 6: Final answer
    x = 390,260.79

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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.