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Finding the Fourth Proportional to 469,531.84, 704,309.89 and 127,978.07

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Solution

The fourth proportional to 469,531.84, 704,309.89 and 127,978.07 is: 191,970.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,531.84 : 704,309.89 = 127,978.07 : x
  2. Step 2: Convert to fraction form
    469,531.84/704,309.89 = 127,978.07/x
  3. Step 3: Cross multiply
    469,531.84x = 704,309.89 × 127,978.07
  4. Step 4: Simplify right side
    469,531.84x = 90,136,220,404.11
  5. Step 5: Solve for x
    x = 90,136,220,404.11/469,531.84
  6. Step 6: Final answer
    x = 191,970.41

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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.