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Finding the Fourth Proportional to 419,066.16, 578,311.30 and 228,080.91

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Solution

The fourth proportional to 419,066.16, 578,311.30 and 228,080.91 is: 314,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,066.16 : 578,311.30 = 228,080.91 : x
  2. Step 2: Convert to fraction form
    419,066.16/578,311.30 = 228,080.91/x
  3. Step 3: Cross multiply
    419,066.16x = 578,311.30 × 228,080.91
  4. Step 4: Simplify right side
    419,066.16x = 131,901,768,738.10
  5. Step 5: Solve for x
    x = 131,901,768,738.10/419,066.16
  6. Step 6: Final answer
    x = 314,751.66

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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.