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Finding the Fourth Proportional to 357,136.98, 535,705.47 and 278,310.21

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Solution

The fourth proportional to 357,136.98, 535,705.47 and 278,310.21 is: 417,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,136.98 : 535,705.47 = 278,310.21 : x
  2. Step 2: Convert to fraction form
    357,136.98/535,705.47 = 278,310.21/x
  3. Step 3: Cross multiply
    357,136.98x = 535,705.47 × 278,310.21
  4. Step 4: Simplify right side
    357,136.98x = 149,092,301,853.85
  5. Step 5: Solve for x
    x = 149,092,301,853.85/357,136.98
  6. Step 6: Final answer
    x = 417,465.32

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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.