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Finding the Fourth Proportional to 523,017.90, 722,109.87 and 401,939.10

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Solution

The fourth proportional to 523,017.90, 722,109.87 and 401,939.10 is: 554,941.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,017.90 : 722,109.87 = 401,939.10 : x
  2. Step 2: Convert to fraction form
    523,017.90/722,109.87 = 401,939.10/x
  3. Step 3: Cross multiply
    523,017.90x = 722,109.87 × 401,939.10
  4. Step 4: Simplify right side
    523,017.90x = 290,244,191,248.92
  5. Step 5: Solve for x
    x = 290,244,191,248.92/523,017.90
  6. Step 6: Final answer
    x = 554,941.22

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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.