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Finding the Fourth Proportional to 315,462, 472,959.72 and 190,775.28

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Solution

The fourth proportional to 315,462, 472,959.72 and 190,775.28 is: 286,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,462 : 472,959.72 = 190,775.28 : x
  2. Step 2: Convert to fraction form
    315,462/472,959.72 = 190,775.28/x
  3. Step 3: Cross multiply
    315,462x = 472,959.72 × 190,775.28
  4. Step 4: Simplify right side
    315,462x = 90,229,023,011.72
  5. Step 5: Solve for x
    x = 90,229,023,011.72/315,462
  6. Step 6: Final answer
    x = 286,021.84

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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.