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Finding the Fourth Proportional to 659,418.80, 989,128.20 and 456,465.20

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Solution

The fourth proportional to 659,418.80, 989,128.20 and 456,465.20 is: 684,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,418.80 : 989,128.20 = 456,465.20 : x
  2. Step 2: Convert to fraction form
    659,418.80/989,128.20 = 456,465.20/x
  3. Step 3: Cross multiply
    659,418.80x = 989,128.20 × 456,465.20
  4. Step 4: Simplify right side
    659,418.80x = 451,502,601,638.64
  5. Step 5: Solve for x
    x = 451,502,601,638.64/659,418.80
  6. Step 6: Final answer
    x = 684,697.80

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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.