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Finding the Fourth Proportional to 317,074.80, 475,633.80 and 100,916.40

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Solution

The fourth proportional to 317,074.80, 475,633.80 and 100,916.40 is: 151,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,074.80 : 475,633.80 = 100,916.40 : x
  2. Step 2: Convert to fraction form
    317,074.80/475,633.80 = 100,916.40/x
  3. Step 3: Cross multiply
    317,074.80x = 475,633.80 × 100,916.40
  4. Step 4: Simplify right side
    317,074.80x = 47,999,250,814.32
  5. Step 5: Solve for x
    x = 47,999,250,814.32/317,074.80
  6. Step 6: Final answer
    x = 151,381.47

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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.