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Finding the Fourth Proportional to 456,003.60, 684,005.40 and 431,509.20

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Solution

The fourth proportional to 456,003.60, 684,005.40 and 431,509.20 is: 647,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,003.60 : 684,005.40 = 431,509.20 : x
  2. Step 2: Convert to fraction form
    456,003.60/684,005.40 = 431,509.20/x
  3. Step 3: Cross multiply
    456,003.60x = 684,005.40 × 431,509.20
  4. Step 4: Simplify right side
    456,003.60x = 295,154,622,949.68
  5. Step 5: Solve for x
    x = 295,154,622,949.68/456,003.60
  6. Step 6: Final answer
    x = 647,263.80

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1.5x scale

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.