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Finding the Fourth Proportional to 496,165.32, 684,695.88 and 289,473.30

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Solution

The fourth proportional to 496,165.32, 684,695.88 and 289,473.30 is: 399,466.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,165.32 : 684,695.88 = 289,473.30 : x
  2. Step 2: Convert to fraction form
    496,165.32/684,695.88 = 289,473.30/x
  3. Step 3: Cross multiply
    496,165.32x = 684,695.88 × 289,473.30
  4. Step 4: Simplify right side
    496,165.32x = 198,201,175,880.00
  5. Step 5: Solve for x
    x = 198,201,175,880.00/496,165.32
  6. Step 6: Final answer
    x = 399,466.00

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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.