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Finding the Fourth Proportional to 474,319.08, 654,712.74 and 313,317

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Solution

The fourth proportional to 474,319.08, 654,712.74 and 313,317 is: 432,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,319.08 : 654,712.74 = 313,317 : x
  2. Step 2: Convert to fraction form
    474,319.08/654,712.74 = 313,317/x
  3. Step 3: Cross multiply
    474,319.08x = 654,712.74 × 313,317
  4. Step 4: Simplify right side
    474,319.08x = 205,132,631,558.58
  5. Step 5: Solve for x
    x = 205,132,631,558.58/474,319.08
  6. Step 6: Final answer
    x = 432,478.14

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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.