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Finding the Fourth Proportional to 509,212.78, 702,421.32 and 317,894.02

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Solution

The fourth proportional to 509,212.78, 702,421.32 and 317,894.02 is: 438,511.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,212.78 : 702,421.32 = 317,894.02 : x
  2. Step 2: Convert to fraction form
    509,212.78/702,421.32 = 317,894.02/x
  3. Step 3: Cross multiply
    509,212.78x = 702,421.32 × 317,894.02
  4. Step 4: Simplify right side
    509,212.78x = 223,295,534,796.40
  5. Step 5: Solve for x
    x = 223,295,534,796.40/509,212.78
  6. Step 6: Final answer
    x = 438,511.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.