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Finding the Fourth Proportional to 492,739.40, 739,109.10 and 160,315.40

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Solution

The fourth proportional to 492,739.40, 739,109.10 and 160,315.40 is: 240,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,739.40 : 739,109.10 = 160,315.40 : x
  2. Step 2: Convert to fraction form
    492,739.40/739,109.10 = 160,315.40/x
  3. Step 3: Cross multiply
    492,739.40x = 739,109.10 × 160,315.40
  4. Step 4: Simplify right side
    492,739.40x = 118,490,571,010.14
  5. Step 5: Solve for x
    x = 118,490,571,010.14/492,739.40
  6. Step 6: Final answer
    x = 240,473.10

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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.