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Finding the Fourth Proportional to 539,409.48, 808,832.70 and 160,278

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Solution

The fourth proportional to 539,409.48, 808,832.70 and 160,278 is: 240,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,409.48 : 808,832.70 = 160,278 : x
  2. Step 2: Convert to fraction form
    539,409.48/808,832.70 = 160,278/x
  3. Step 3: Cross multiply
    539,409.48x = 808,832.70 × 160,278
  4. Step 4: Simplify right side
    539,409.48x = 129,638,087,490.60
  5. Step 5: Solve for x
    x = 129,638,087,490.60/539,409.48
  6. Step 6: Final answer
    x = 240,333.35

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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.