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Finding the Fourth Proportional to 360,721.05, 497,809.70 and 199,573.47

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Solution

The fourth proportional to 360,721.05, 497,809.70 and 199,573.47 is: 275,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,721.05 : 497,809.70 = 199,573.47 : x
  2. Step 2: Convert to fraction form
    360,721.05/497,809.70 = 199,573.47/x
  3. Step 3: Cross multiply
    360,721.05x = 497,809.70 × 199,573.47
  4. Step 4: Simplify right side
    360,721.05x = 99,349,609,228.66
  5. Step 5: Solve for x
    x = 99,349,609,228.66/360,721.05
  6. Step 6: Final answer
    x = 275,419.49

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1.5x scale

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.