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Finding the Fourth Proportional to 409,484.55, 565,089.21 and 228,192.50

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Solution

The fourth proportional to 409,484.55, 565,089.21 and 228,192.50 is: 314,905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,484.55 : 565,089.21 = 228,192.50 : x
  2. Step 2: Convert to fraction form
    409,484.55/565,089.21 = 228,192.50/x
  3. Step 3: Cross multiply
    409,484.55x = 565,089.21 × 228,192.50
  4. Step 4: Simplify right side
    409,484.55x = 128,949,116,727.48
  5. Step 5: Solve for x
    x = 128,949,116,727.48/409,484.55
  6. Step 6: Final answer
    x = 314,905.94

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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.