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Finding the Fourth Proportional to 346,512, 478,186.56 and 187,536

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Solution

The fourth proportional to 346,512, 478,186.56 and 187,536 is: 258,799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,512 : 478,186.56 = 187,536 : x
  2. Step 2: Convert to fraction form
    346,512/478,186.56 = 187,536/x
  3. Step 3: Cross multiply
    346,512x = 478,186.56 × 187,536
  4. Step 4: Simplify right side
    346,512x = 89,677,194,716.16
  5. Step 5: Solve for x
    x = 89,677,194,716.16/346,512
  6. Step 6: Final answer
    x = 258,799.68

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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.