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Finding the Fourth Proportional to 467,779.20, 702,014.40 and 309,955.20

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Solution

The fourth proportional to 467,779.20, 702,014.40 and 309,955.20 is: 465,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,779.20 : 702,014.40 = 309,955.20 : x
  2. Step 2: Convert to fraction form
    467,779.20/702,014.40 = 309,955.20/x
  3. Step 3: Cross multiply
    467,779.20x = 702,014.40 × 309,955.20
  4. Step 4: Simplify right side
    467,779.20x = 217,593,013,754.88
  5. Step 5: Solve for x
    x = 217,593,013,754.88/467,779.20
  6. Step 6: Final answer
    x = 465,161.80

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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.