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Finding the Fourth Proportional to 409,802.49, 565,499.88 and 256,835.21

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Solution

The fourth proportional to 409,802.49, 565,499.88 and 256,835.21 is: 354,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,802.49 : 565,499.88 = 256,835.21 : x
  2. Step 2: Convert to fraction form
    409,802.49/565,499.88 = 256,835.21/x
  3. Step 3: Cross multiply
    409,802.49x = 565,499.88 × 256,835.21
  4. Step 4: Simplify right side
    409,802.49x = 145,240,277,607.28
  5. Step 5: Solve for x
    x = 145,240,277,607.28/409,802.49
  6. Step 6: Final answer
    x = 354,415.31

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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.