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Finding the Fourth Proportional to 309,989.84, 424,990.90 and 304,391.12

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Solution

The fourth proportional to 309,989.84, 424,990.90 and 304,391.12 is: 417,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,989.84 : 424,990.90 = 304,391.12 : x
  2. Step 2: Convert to fraction form
    309,989.84/424,990.90 = 304,391.12/x
  3. Step 3: Cross multiply
    309,989.84x = 424,990.90 × 304,391.12
  4. Step 4: Simplify right side
    309,989.84x = 129,363,456,040.81
  5. Step 5: Solve for x
    x = 129,363,456,040.81/309,989.84
  6. Step 6: Final answer
    x = 417,315.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.