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Finding the Fourth Proportional to 347,895, 480,095.10 and 197,021.16

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Solution

The fourth proportional to 347,895, 480,095.10 and 197,021.16 is: 271,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,895 : 480,095.10 = 197,021.16 : x
  2. Step 2: Convert to fraction form
    347,895/480,095.10 = 197,021.16/x
  3. Step 3: Cross multiply
    347,895x = 480,095.10 × 197,021.16
  4. Step 4: Simplify right side
    347,895x = 94,588,893,512.32
  5. Step 5: Solve for x
    x = 94,588,893,512.32/347,895
  6. Step 6: Final answer
    x = 271,889.20

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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.