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Finding the Fourth Proportional to 315,464, 472,962.72 and 190,777.28

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Solution

The fourth proportional to 315,464, 472,962.72 and 190,777.28 is: 286,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,464 : 472,962.72 = 190,777.28 : x
  2. Step 2: Convert to fraction form
    315,464/472,962.72 = 190,777.28/x
  3. Step 3: Cross multiply
    315,464x = 472,962.72 × 190,777.28
  4. Step 4: Simplify right side
    315,464x = 90,230,541,263.00
  5. Step 5: Solve for x
    x = 90,230,541,263.00/315,464
  6. Step 6: Final answer
    x = 286,024.84

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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.