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Finding the Fourth Proportional to 407,509.17, 610,119.23 and 331,153.71

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Solution

The fourth proportional to 407,509.17, 610,119.23 and 331,153.71 is: 495,800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,509.17 : 610,119.23 = 331,153.71 : x
  2. Step 2: Convert to fraction form
    407,509.17/610,119.23 = 331,153.71/x
  3. Step 3: Cross multiply
    407,509.17x = 610,119.23 × 331,153.71
  4. Step 4: Simplify right side
    407,509.17x = 202,043,244,901.08
  5. Step 5: Solve for x
    x = 202,043,244,901.08/407,509.17
  6. Step 6: Final answer
    x = 495,800.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.