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Finding the Fourth Proportional to 467,120, 644,628.16 and 255,152

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Solution

The fourth proportional to 467,120, 644,628.16 and 255,152 is: 352,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,120 : 644,628.16 = 255,152 : x
  2. Step 2: Convert to fraction form
    467,120/644,628.16 = 255,152/x
  3. Step 3: Cross multiply
    467,120x = 644,628.16 × 255,152
  4. Step 4: Simplify right side
    467,120x = 164,478,164,280.32
  5. Step 5: Solve for x
    x = 164,478,164,280.32/467,120
  6. Step 6: Final answer
    x = 352,111.16

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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.