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Finding the Fourth Proportional to 665,381.85, 997,360.04 and 475,265.63

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Solution

The fourth proportional to 665,381.85, 997,360.04 and 475,265.63 is: 712,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,381.85 : 997,360.04 = 475,265.63 : x
  2. Step 2: Convert to fraction form
    665,381.85/997,360.04 = 475,265.63/x
  3. Step 3: Cross multiply
    665,381.85x = 997,360.04 × 475,265.63
  4. Step 4: Simplify right side
    665,381.85x = 474,010,940,384.30
  5. Step 5: Solve for x
    x = 474,010,940,384.30/665,381.85
  6. Step 6: Final answer
    x = 712,389.35

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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.