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Finding the Fourth Proportional to 317,428.48, 475,940.16 and 137,416.96

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Solution

The fourth proportional to 317,428.48, 475,940.16 and 137,416.96 is: 206,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,428.48 : 475,940.16 = 137,416.96 : x
  2. Step 2: Convert to fraction form
    317,428.48/475,940.16 = 137,416.96/x
  3. Step 3: Cross multiply
    317,428.48x = 475,940.16 × 137,416.96
  4. Step 4: Simplify right side
    317,428.48x = 65,402,249,929.11
  5. Step 5: Solve for x
    x = 65,402,249,929.11/317,428.48
  6. Step 6: Final answer
    x = 206,037.75

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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.