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Finding the Fourth Proportional to 497,438.86, 684,891.67 and 451,980.78

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Solution

The fourth proportional to 497,438.86, 684,891.67 and 451,980.78 is: 622,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,438.86 : 684,891.67 = 451,980.78 : x
  2. Step 2: Convert to fraction form
    497,438.86/684,891.67 = 451,980.78/x
  3. Step 3: Cross multiply
    497,438.86x = 684,891.67 × 451,980.78
  4. Step 4: Simplify right side
    497,438.86x = 309,557,871,222.10
  5. Step 5: Solve for x
    x = 309,557,871,222.10/497,438.86
  6. Step 6: Final answer
    x = 622,303.35

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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.