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Finding the Fourth Proportional to 457,480.08, 684,729.72 and 413,830.80

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Solution

The fourth proportional to 457,480.08, 684,729.72 and 413,830.80 is: 619,398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,480.08 : 684,729.72 = 413,830.80 : x
  2. Step 2: Convert to fraction form
    457,480.08/684,729.72 = 413,830.80/x
  3. Step 3: Cross multiply
    457,480.08x = 684,729.72 × 413,830.80
  4. Step 4: Simplify right side
    457,480.08x = 283,362,247,811.38
  5. Step 5: Solve for x
    x = 283,362,247,811.38/457,480.08
  6. Step 6: Final answer
    x = 619,398.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.