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Finding the Fourth Proportional to 347,064, 478,948.64 and 188,088

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Solution

The fourth proportional to 347,064, 478,948.64 and 188,088 is: 259,561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,064 : 478,948.64 = 188,088 : x
  2. Step 2: Convert to fraction form
    347,064/478,948.64 = 188,088/x
  3. Step 3: Cross multiply
    347,064x = 478,948.64 × 188,088
  4. Step 4: Simplify right side
    347,064x = 90,084,491,800.32
  5. Step 5: Solve for x
    x = 90,084,491,800.32/347,064
  6. Step 6: Final answer
    x = 259,561.61

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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.