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Finding the Fourth Proportional to 409,307.61, 612,827.82 and 209,197.11

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Solution

The fourth proportional to 409,307.61, 612,827.82 and 209,197.11 is: 313,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,307.61 : 612,827.82 = 209,197.11 : x
  2. Step 2: Convert to fraction form
    409,307.61/612,827.82 = 209,197.11/x
  3. Step 3: Cross multiply
    409,307.61x = 612,827.82 × 209,197.11
  4. Step 4: Simplify right side
    409,307.61x = 128,201,808,871.60
  5. Step 5: Solve for x
    x = 128,201,808,871.60/409,307.61
  6. Step 6: Final answer
    x = 313,216.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.