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Finding the Fourth Proportional to 413,856.93, 621,572.76 and 257,180.25

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Solution

The fourth proportional to 413,856.93, 621,572.76 and 257,180.25 is: 386,259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,856.93 : 621,572.76 = 257,180.25 : x
  2. Step 2: Convert to fraction form
    413,856.93/621,572.76 = 257,180.25/x
  3. Step 3: Cross multiply
    413,856.93x = 621,572.76 × 257,180.25
  4. Step 4: Simplify right side
    413,856.93x = 159,856,237,809.99
  5. Step 5: Solve for x
    x = 159,856,237,809.99/413,856.93
  6. Step 6: Final answer
    x = 386,259.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.