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Finding the Fourth Proportional to 399,136.80, 598,705.20 and 355,834.20

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Solution

The fourth proportional to 399,136.80, 598,705.20 and 355,834.20 is: 533,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,136.80 : 598,705.20 = 355,834.20 : x
  2. Step 2: Convert to fraction form
    399,136.80/598,705.20 = 355,834.20/x
  3. Step 3: Cross multiply
    399,136.80x = 598,705.20 × 355,834.20
  4. Step 4: Simplify right side
    399,136.80x = 213,039,785,877.84
  5. Step 5: Solve for x
    x = 213,039,785,877.84/399,136.80
  6. Step 6: Final answer
    x = 533,751.30

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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.