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Finding the Fourth Proportional to 352,152, 528,305.76 and 130,536

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Solution

The fourth proportional to 352,152, 528,305.76 and 130,536 is: 195,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,152 : 528,305.76 = 130,536 : x
  2. Step 2: Convert to fraction form
    352,152/528,305.76 = 130,536/x
  3. Step 3: Cross multiply
    352,152x = 528,305.76 × 130,536
  4. Step 4: Simplify right side
    352,152x = 68,962,920,687.36
  5. Step 5: Solve for x
    x = 68,962,920,687.36/352,152
  6. Step 6: Final answer
    x = 195,832.82

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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.