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Finding the Fourth Proportional to 406,010.54, 559,010.77 and 357,578.21

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Solution

The fourth proportional to 406,010.54, 559,010.77 and 357,578.21 is: 492,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,010.54 : 559,010.77 = 357,578.21 : x
  2. Step 2: Convert to fraction form
    406,010.54/559,010.77 = 357,578.21/x
  3. Step 3: Cross multiply
    406,010.54x = 559,010.77 × 357,578.21
  4. Step 4: Simplify right side
    406,010.54x = 199,890,071,010.90
  5. Step 5: Solve for x
    x = 199,890,071,010.90/406,010.54
  6. Step 6: Final answer
    x = 492,327.29

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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.