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Finding the Fourth Proportional to 475,870.40, 656,756.04 and 284,883.68

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Solution

The fourth proportional to 475,870.40, 656,756.04 and 284,883.68 is: 393,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,870.40 : 656,756.04 = 284,883.68 : x
  2. Step 2: Convert to fraction form
    475,870.40/656,756.04 = 284,883.68/x
  3. Step 3: Cross multiply
    475,870.40x = 656,756.04 × 284,883.68
  4. Step 4: Simplify right side
    475,870.40x = 187,099,077,537.43
  5. Step 5: Solve for x
    x = 187,099,077,537.43/475,870.40
  6. Step 6: Final answer
    x = 393,172.34

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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.