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Finding the Fourth Proportional to 293,047.80, 439,571.70 and 143,311.20

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Solution

The fourth proportional to 293,047.80, 439,571.70 and 143,311.20 is: 214,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,047.80 : 439,571.70 = 143,311.20 : x
  2. Step 2: Convert to fraction form
    293,047.80/439,571.70 = 143,311.20/x
  3. Step 3: Cross multiply
    293,047.80x = 439,571.70 × 143,311.20
  4. Step 4: Simplify right side
    293,047.80x = 62,995,547,813.04
  5. Step 5: Solve for x
    x = 62,995,547,813.04/293,047.80
  6. Step 6: Final answer
    x = 214,966.80

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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.