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Finding the Fourth Proportional to 360,498.66, 497,491.29 and 199,364.55

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Solution

The fourth proportional to 360,498.66, 497,491.29 and 199,364.55 is: 275,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,498.66 : 497,491.29 = 199,364.55 : x
  2. Step 2: Convert to fraction form
    360,498.66/497,491.29 = 199,364.55/x
  3. Step 3: Cross multiply
    360,498.66x = 497,491.29 × 199,364.55
  4. Step 4: Simplify right side
    360,498.66x = 99,182,127,159.77
  5. Step 5: Solve for x
    x = 99,182,127,159.77/360,498.66
  6. Step 6: Final answer
    x = 275,124.82

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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.