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Finding the Fourth Proportional to 380,284.59, 524,798.97 and 208,199.70

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Solution

The fourth proportional to 380,284.59, 524,798.97 and 208,199.70 is: 287,319.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,284.59 : 524,798.97 = 208,199.70 : x
  2. Step 2: Convert to fraction form
    380,284.59/524,798.97 = 208,199.70/x
  3. Step 3: Cross multiply
    380,284.59x = 524,798.97 × 208,199.70
  4. Step 4: Simplify right side
    380,284.59x = 109,262,988,114.31
  5. Step 5: Solve for x
    x = 109,262,988,114.31/380,284.59
  6. Step 6: Final answer
    x = 287,319.00

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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.