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Finding the Fourth Proportional to 346,896, 478,719.36 and 187,920

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Solution

The fourth proportional to 346,896, 478,719.36 and 187,920 is: 259,331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,896 : 478,719.36 = 187,920 : x
  2. Step 2: Convert to fraction form
    346,896/478,719.36 = 187,920/x
  3. Step 3: Cross multiply
    346,896x = 478,719.36 × 187,920
  4. Step 4: Simplify right side
    346,896x = 89,960,942,131.20
  5. Step 5: Solve for x
    x = 89,960,942,131.20/346,896
  6. Step 6: Final answer
    x = 259,331.16

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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.