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Finding the Fourth Proportional to 489,427.80, 734,141.70 and 157,037.40

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Solution

The fourth proportional to 489,427.80, 734,141.70 and 157,037.40 is: 235,556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,427.80 : 734,141.70 = 157,037.40 : x
  2. Step 2: Convert to fraction form
    489,427.80/734,141.70 = 157,037.40/x
  3. Step 3: Cross multiply
    489,427.80x = 734,141.70 × 157,037.40
  4. Step 4: Simplify right side
    489,427.80x = 115,287,703,799.58
  5. Step 5: Solve for x
    x = 115,287,703,799.58/489,427.80
  6. Step 6: Final answer
    x = 235,556.10

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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.