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Finding the Fourth Proportional to 384,805.80, 576,042.30 and 290,716.20

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Solution

The fourth proportional to 384,805.80, 576,042.30 and 290,716.20 is: 435,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,805.80 : 576,042.30 = 290,716.20 : x
  2. Step 2: Convert to fraction form
    384,805.80/576,042.30 = 290,716.20/x
  3. Step 3: Cross multiply
    384,805.80x = 576,042.30 × 290,716.20
  4. Step 4: Simplify right side
    384,805.80x = 167,464,828,495.26
  5. Step 5: Solve for x
    x = 167,464,828,495.26/384,805.80
  6. Step 6: Final answer
    x = 435,193.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.