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Finding the Fourth Proportional to 417,361.92, 624,643.20 and 342,479.04

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Solution

The fourth proportional to 417,361.92, 624,643.20 and 342,479.04 is: 512,570.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,361.92 : 624,643.20 = 342,479.04 : x
  2. Step 2: Convert to fraction form
    417,361.92/624,643.20 = 342,479.04/x
  3. Step 3: Cross multiply
    417,361.92x = 624,643.20 × 342,479.04
  4. Step 4: Simplify right side
    417,361.92x = 213,927,203,478.53
  5. Step 5: Solve for x
    x = 213,927,203,478.53/417,361.92
  6. Step 6: Final answer
    x = 512,570.01

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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.