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Finding the Fourth Proportional to 346,490, 478,156.20 and 187,514

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Solution

The fourth proportional to 346,490, 478,156.20 and 187,514 is: 258,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,490 : 478,156.20 = 187,514 : x
  2. Step 2: Convert to fraction form
    346,490/478,156.20 = 187,514/x
  3. Step 3: Cross multiply
    346,490x = 478,156.20 × 187,514
  4. Step 4: Simplify right side
    346,490x = 89,660,981,686.80
  5. Step 5: Solve for x
    x = 89,660,981,686.80/346,490
  6. Step 6: Final answer
    x = 258,769.32

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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.