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Finding the Fourth Proportional to 348,361.84, 522,345.12 and 318,641.32

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Solution

The fourth proportional to 348,361.84, 522,345.12 and 318,641.32 is: 477,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,361.84 : 522,345.12 = 318,641.32 : x
  2. Step 2: Convert to fraction form
    348,361.84/522,345.12 = 318,641.32/x
  3. Step 3: Cross multiply
    348,361.84x = 522,345.12 × 318,641.32
  4. Step 4: Simplify right side
    348,361.84x = 166,440,738,532.36
  5. Step 5: Solve for x
    x = 166,440,738,532.36/348,361.84
  6. Step 6: Final answer
    x = 477,781.20

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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.