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Finding the Fourth Proportional to 496,324.40, 684,988.47 and 292,364.78

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Solution

The fourth proportional to 496,324.40, 684,988.47 and 292,364.78 is: 403,499.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,324.40 : 684,988.47 = 292,364.78 : x
  2. Step 2: Convert to fraction form
    496,324.40/684,988.47 = 292,364.78/x
  3. Step 3: Cross multiply
    496,324.40x = 684,988.47 × 292,364.78
  4. Step 4: Simplify right side
    496,324.40x = 200,266,503,334.09
  5. Step 5: Solve for x
    x = 200,266,503,334.09/496,324.40
  6. Step 6: Final answer
    x = 403,499.21

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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.