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Finding the Fourth Proportional to 456,110.40, 684,165.60 and 306,811.20

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Solution

The fourth proportional to 456,110.40, 684,165.60 and 306,811.20 is: 460,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,110.40 : 684,165.60 = 306,811.20 : x
  2. Step 2: Convert to fraction form
    456,110.40/684,165.60 = 306,811.20/x
  3. Step 3: Cross multiply
    456,110.40x = 684,165.60 × 306,811.20
  4. Step 4: Simplify right side
    456,110.40x = 209,909,668,734.72
  5. Step 5: Solve for x
    x = 209,909,668,734.72/456,110.40
  6. Step 6: Final answer
    x = 460,216.80

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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.