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Finding the Fourth Proportional to 346,438, 478,085.88 and 187,462

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Solution

The fourth proportional to 346,438, 478,085.88 and 187,462 is: 258,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,438 : 478,085.88 = 187,462 : x
  2. Step 2: Convert to fraction form
    346,438/478,085.88 = 187,462/x
  3. Step 3: Cross multiply
    346,438x = 478,085.88 × 187,462
  4. Step 4: Simplify right side
    346,438x = 89,622,935,236.56
  5. Step 5: Solve for x
    x = 89,622,935,236.56/346,438
  6. Step 6: Final answer
    x = 258,698.34

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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.