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Finding the Fourth Proportional to 509,257.53, 702,804.60 and 282,903.03

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Solution

The fourth proportional to 509,257.53, 702,804.60 and 282,903.03 is: 390,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,257.53 : 702,804.60 = 282,903.03 : x
  2. Step 2: Convert to fraction form
    509,257.53/702,804.60 = 282,903.03/x
  3. Step 3: Cross multiply
    509,257.53x = 702,804.60 × 282,903.03
  4. Step 4: Simplify right side
    509,257.53x = 198,825,550,837.94
  5. Step 5: Solve for x
    x = 198,825,550,837.94/509,257.53
  6. Step 6: Final answer
    x = 390,422.41

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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.