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Finding the Fourth Proportional to 281,702.83, 388,750.24 and 152,641.21

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Solution

The fourth proportional to 281,702.83, 388,750.24 and 152,641.21 is: 210,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,702.83 : 388,750.24 = 152,641.21 : x
  2. Step 2: Convert to fraction form
    281,702.83/388,750.24 = 152,641.21/x
  3. Step 3: Cross multiply
    281,702.83x = 388,750.24 × 152,641.21
  4. Step 4: Simplify right side
    281,702.83x = 59,339,307,021.39
  5. Step 5: Solve for x
    x = 59,339,307,021.39/281,702.83
  6. Step 6: Final answer
    x = 210,645.05

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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.