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Finding the Fourth Proportional to 346,562, 478,257 and 187,586

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Solution

The fourth proportional to 346,562, 478,257 and 187,586 is: 258,869.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,562 : 478,257 = 187,586 : x
  2. Step 2: Convert to fraction form
    346,562/478,257 = 187,586/x
  3. Step 3: Cross multiply
    346,562x = 478,257 × 187,586
  4. Step 4: Simplify right side
    346,562x = 89,714,317,602
  5. Step 5: Solve for x
    x = 89,714,317,602/346,562
  6. Step 6: Final answer
    x = 258,869.46

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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.