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Finding the Fourth Proportional to 419,187.77, 578,482.70 and 228,200.70

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Solution

The fourth proportional to 419,187.77, 578,482.70 and 228,200.70 is: 314,918.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,187.77 : 578,482.70 = 228,200.70 : x
  2. Step 2: Convert to fraction form
    419,187.77/578,482.70 = 228,200.70/x
  3. Step 3: Cross multiply
    419,187.77x = 578,482.70 × 228,200.70
  4. Step 4: Simplify right side
    419,187.77x = 132,010,157,077.89
  5. Step 5: Solve for x
    x = 132,010,157,077.89/419,187.77
  6. Step 6: Final answer
    x = 314,918.91

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1.5x scale

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.