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Finding the Fourth Proportional to 509,122.25, 702,588.71 and 282,788.81

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Solution

The fourth proportional to 509,122.25, 702,588.71 and 282,788.81 is: 390,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,122.25 : 702,588.71 = 282,788.81 : x
  2. Step 2: Convert to fraction form
    509,122.25/702,588.71 = 282,788.81/x
  3. Step 3: Cross multiply
    509,122.25x = 702,588.71 × 282,788.81
  4. Step 4: Simplify right side
    509,122.25x = 198,684,223,806.39
  5. Step 5: Solve for x
    x = 198,684,223,806.39/509,122.25
  6. Step 6: Final answer
    x = 390,248.56

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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.