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Finding the Fourth Proportional to 282,504.78, 389,859.46 and 153,445.78

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Solution

The fourth proportional to 282,504.78, 389,859.46 and 153,445.78 is: 211,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,504.78 : 389,859.46 = 153,445.78 : x
  2. Step 2: Convert to fraction form
    282,504.78/389,859.46 = 153,445.78/x
  3. Step 3: Cross multiply
    282,504.78x = 389,859.46 × 153,445.78
  4. Step 4: Simplify right side
    282,504.78x = 59,822,287,272.40
  5. Step 5: Solve for x
    x = 59,822,287,272.40/282,504.78
  6. Step 6: Final answer
    x = 211,756.72

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1.5x scale

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.