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Finding the Fourth Proportional to 614,465.80, 923,081.10 and 427,841.80

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Solution

The fourth proportional to 614,465.80, 923,081.10 and 427,841.80 is: 642,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,465.80 : 923,081.10 = 427,841.80 : x
  2. Step 2: Convert to fraction form
    614,465.80/923,081.10 = 427,841.80/x
  3. Step 3: Cross multiply
    614,465.80x = 923,081.10 × 427,841.80
  4. Step 4: Simplify right side
    614,465.80x = 394,932,679,369.98
  5. Step 5: Solve for x
    x = 394,932,679,369.98/614,465.80
  6. Step 6: Final answer
    x = 642,725.24

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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.