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Finding the Fourth Proportional to 369,459.64, 509,854.38 and 199,693.24

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Solution

The fourth proportional to 369,459.64, 509,854.38 and 199,693.24 is: 275,576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,459.64 : 509,854.38 = 199,693.24 : x
  2. Step 2: Convert to fraction form
    369,459.64/509,854.38 = 199,693.24/x
  3. Step 3: Cross multiply
    369,459.64x = 509,854.38 × 199,693.24
  4. Step 4: Simplify right side
    369,459.64x = 101,814,473,070.39
  5. Step 5: Solve for x
    x = 101,814,473,070.39/369,459.64
  6. Step 6: Final answer
    x = 275,576.71

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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.