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Finding the Fourth Proportional to 409,485.83, 565,090.98 and 228,193.77

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Solution

The fourth proportional to 409,485.83, 565,090.98 and 228,193.77 is: 314,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,485.83 : 565,090.98 = 228,193.77 : x
  2. Step 2: Convert to fraction form
    409,485.83/565,090.98 = 228,193.77/x
  3. Step 3: Cross multiply
    409,485.83x = 565,090.98 × 228,193.77
  4. Step 4: Simplify right side
    409,485.83x = 128,950,241,119.20
  5. Step 5: Solve for x
    x = 128,950,241,119.20/409,485.83
  6. Step 6: Final answer
    x = 314,907.70

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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.