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Finding the Fourth Proportional to 360,498.16, 497,490.60 and 199,364.05

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Solution

The fourth proportional to 360,498.16, 497,490.60 and 199,364.05 is: 275,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,498.16 : 497,490.60 = 199,364.05 : x
  2. Step 2: Convert to fraction form
    360,498.16/497,490.60 = 199,364.05/x
  3. Step 3: Cross multiply
    360,498.16x = 497,490.60 × 199,364.05
  4. Step 4: Simplify right side
    360,498.16x = 99,181,740,852.93
  5. Step 5: Solve for x
    x = 99,181,740,852.93/360,498.16
  6. Step 6: Final answer
    x = 275,124.13

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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.