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Finding the Fourth Proportional to 680,971.31, 939,670.87 and 419,285.06

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Solution

The fourth proportional to 680,971.31, 939,670.87 and 419,285.06 is: 578,570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,971.31 : 939,670.87 = 419,285.06 : x
  2. Step 2: Convert to fraction form
    680,971.31/939,670.87 = 419,285.06/x
  3. Step 3: Cross multiply
    680,971.31x = 939,670.87 × 419,285.06
  4. Step 4: Simplify right side
    680,971.31x = 393,989,957,108.20
  5. Step 5: Solve for x
    x = 393,989,957,108.20/680,971.31
  6. Step 6: Final answer
    x = 578,570.57

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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.