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Finding the Fourth Proportional to 567,415.87, 783,010.31 and 309,287.14

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Solution

The fourth proportional to 567,415.87, 783,010.31 and 309,287.14 is: 426,803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,415.87 : 783,010.31 = 309,287.14 : x
  2. Step 2: Convert to fraction form
    567,415.87/783,010.31 = 309,287.14/x
  3. Step 3: Cross multiply
    567,415.87x = 783,010.31 × 309,287.14
  4. Step 4: Simplify right side
    567,415.87x = 242,175,015,866.45
  5. Step 5: Solve for x
    x = 242,175,015,866.45/567,415.87
  6. Step 6: Final answer
    x = 426,803.39

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Double scale
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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.