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Finding the Fourth Proportional to 409,617.58, 565,264.16 and 228,318.69

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Solution

The fourth proportional to 409,617.58, 565,264.16 and 228,318.69 is: 315,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,617.58 : 565,264.16 = 228,318.69 : x
  2. Step 2: Convert to fraction form
    409,617.58/565,264.16 = 228,318.69/x
  3. Step 3: Cross multiply
    409,617.58x = 565,264.16 × 228,318.69
  4. Step 4: Simplify right side
    409,617.58x = 129,060,372,515.15
  5. Step 5: Solve for x
    x = 129,060,372,515.15/409,617.58
  6. Step 6: Final answer
    x = 315,075.28

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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.