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Finding the Fourth Proportional to 346,468, 478,126.08 and 187,492

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Solution

The fourth proportional to 346,468, 478,126.08 and 187,492 is: 258,739.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,468 : 478,126.08 = 187,492 : x
  2. Step 2: Convert to fraction form
    346,468/478,126.08 = 187,492/x
  3. Step 3: Cross multiply
    346,468x = 478,126.08 × 187,492
  4. Step 4: Simplify right side
    346,468x = 89,644,814,991.36
  5. Step 5: Solve for x
    x = 89,644,814,991.36/346,468
  6. Step 6: Final answer
    x = 258,739.09

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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.