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Finding the Fourth Proportional to 518,697, 778,045.50 and 144,720

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Solution

The fourth proportional to 518,697, 778,045.50 and 144,720 is: 217,080

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,697 : 778,045.50 = 144,720 : x
  2. Step 2: Convert to fraction form
    518,697/778,045.50 = 144,720/x
  3. Step 3: Cross multiply
    518,697x = 778,045.50 × 144,720
  4. Step 4: Simplify right side
    518,697x = 112,598,744,760
  5. Step 5: Solve for x
    x = 112,598,744,760/518,697
  6. Step 6: Final answer
    x = 217,080

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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.