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Finding the Fourth Proportional to 315,718, 475,708.32 and 260,788.64

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Solution

The fourth proportional to 315,718, 475,708.32 and 260,788.64 is: 392,943.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,718 : 475,708.32 = 260,788.64 : x
  2. Step 2: Convert to fraction form
    315,718/475,708.32 = 260,788.64/x
  3. Step 3: Cross multiply
    315,718x = 475,708.32 × 260,788.64
  4. Step 4: Simplify right side
    315,718x = 124,059,325,809.49
  5. Step 5: Solve for x
    x = 124,059,325,809.49/315,718
  6. Step 6: Final answer
    x = 392,943.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.