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Finding the Fourth Proportional to 509,119.47, 702,532.17 and 294,328.53

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Solution

The fourth proportional to 509,119.47, 702,532.17 and 294,328.53 is: 406,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,119.47 : 702,532.17 = 294,328.53 : x
  2. Step 2: Convert to fraction form
    509,119.47/702,532.17 = 294,328.53/x
  3. Step 3: Cross multiply
    509,119.47x = 702,532.17 × 294,328.53
  4. Step 4: Simplify right side
    509,119.47x = 206,775,260,873.81
  5. Step 5: Solve for x
    x = 206,775,260,873.81/509,119.47
  6. Step 6: Final answer
    x = 406,142.91

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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.