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Finding the Fourth Proportional to 496,010.96, 684,561.48 and 317,681.36

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Solution

The fourth proportional to 496,010.96, 684,561.48 and 317,681.36 is: 438,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,010.96 : 684,561.48 = 317,681.36 : x
  2. Step 2: Convert to fraction form
    496,010.96/684,561.48 = 317,681.36/x
  3. Step 3: Cross multiply
    496,010.96x = 684,561.48 × 317,681.36
  4. Step 4: Simplify right side
    496,010.96x = 217,472,421,970.01
  5. Step 5: Solve for x
    x = 217,472,421,970.01/496,010.96
  6. Step 6: Final answer
    x = 438,442.78

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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.