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Finding the Fourth Proportional to 409,551.84, 565,214.40 and 228,322.44

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Solution

The fourth proportional to 409,551.84, 565,214.40 and 228,322.44 is: 315,103.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,551.84 : 565,214.40 = 228,322.44 : x
  2. Step 2: Convert to fraction form
    409,551.84/565,214.40 = 228,322.44/x
  3. Step 3: Cross multiply
    409,551.84x = 565,214.40 × 228,322.44
  4. Step 4: Simplify right side
    409,551.84x = 129,051,130,931.14
  5. Step 5: Solve for x
    x = 129,051,130,931.14/409,551.84
  6. Step 6: Final answer
    x = 315,103.29

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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.