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Finding the Fourth Proportional to 386,052.60, 578,808.90 and 228,199.80

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Solution

The fourth proportional to 386,052.60, 578,808.90 and 228,199.80 is: 342,140.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,052.60 : 578,808.90 = 228,199.80 : x
  2. Step 2: Convert to fraction form
    386,052.60/578,808.90 = 228,199.80/x
  3. Step 3: Cross multiply
    386,052.60x = 578,808.90 × 228,199.80
  4. Step 4: Simplify right side
    386,052.60x = 132,084,075,218.22
  5. Step 5: Solve for x
    x = 132,084,075,218.22/386,052.60
  6. Step 6: Final answer
    x = 342,140.10

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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.