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Finding the Fourth Proportional to 646,493.76, 970,155.36 and 313,888.32

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Solution

The fourth proportional to 646,493.76, 970,155.36 and 313,888.32 is: 471,033.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,493.76 : 970,155.36 = 313,888.32 : x
  2. Step 2: Convert to fraction form
    646,493.76/970,155.36 = 313,888.32/x
  3. Step 3: Cross multiply
    646,493.76x = 970,155.36 × 313,888.32
  4. Step 4: Simplify right side
    646,493.76x = 304,520,436,089.40
  5. Step 5: Solve for x
    x = 304,520,436,089.40/646,493.76
  6. Step 6: Final answer
    x = 471,033.84

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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.