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Finding the Fourth Proportional to 346,786, 478,564.68 and 187,810

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Solution

The fourth proportional to 346,786, 478,564.68 and 187,810 is: 259,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,786 : 478,564.68 = 187,810 : x
  2. Step 2: Convert to fraction form
    346,786/478,564.68 = 187,810/x
  3. Step 3: Cross multiply
    346,786x = 478,564.68 × 187,810
  4. Step 4: Simplify right side
    346,786x = 89,879,232,550.80
  5. Step 5: Solve for x
    x = 89,879,232,550.80/346,786
  6. Step 6: Final answer
    x = 259,177.80

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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.