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Finding the Fourth Proportional to 346,853, 478,657.14 and 187,877

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Solution

The fourth proportional to 346,853, 478,657.14 and 187,877 is: 259,270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,853 : 478,657.14 = 187,877 : x
  2. Step 2: Convert to fraction form
    346,853/478,657.14 = 187,877/x
  3. Step 3: Cross multiply
    346,853x = 478,657.14 × 187,877
  4. Step 4: Simplify right side
    346,853x = 89,928,667,491.78
  5. Step 5: Solve for x
    x = 89,928,667,491.78/346,853
  6. Step 6: Final answer
    x = 259,270.26

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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.