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Finding the Fourth Proportional to 346,431, 478,076.28 and 187,455

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Solution

The fourth proportional to 346,431, 478,076.28 and 187,455 is: 258,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,431 : 478,076.28 = 187,455 : x
  2. Step 2: Convert to fraction form
    346,431/478,076.28 = 187,455/x
  3. Step 3: Cross multiply
    346,431x = 478,076.28 × 187,455
  4. Step 4: Simplify right side
    346,431x = 89,617,789,067.40
  5. Step 5: Solve for x
    x = 89,617,789,067.40/346,431
  6. Step 6: Final answer
    x = 258,688.71

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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.