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Finding the Fourth Proportional to 354,404.20, 531,422.70 and 105,053.80

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Solution

The fourth proportional to 354,404.20, 531,422.70 and 105,053.80 is: 157,526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,404.20 : 531,422.70 = 105,053.80 : x
  2. Step 2: Convert to fraction form
    354,404.20/531,422.70 = 105,053.80/x
  3. Step 3: Cross multiply
    354,404.20x = 531,422.70 × 105,053.80
  4. Step 4: Simplify right side
    354,404.20x = 55,827,974,041.26
  5. Step 5: Solve for x
    x = 55,827,974,041.26/354,404.20
  6. Step 6: Final answer
    x = 157,526.28

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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.