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Finding the Fourth Proportional to 518,992.65, 778,488.98 and 414,016.65

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Solution

The fourth proportional to 518,992.65, 778,488.98 and 414,016.65 is: 621,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,992.65 : 778,488.98 = 414,016.65 : x
  2. Step 2: Convert to fraction form
    518,992.65/778,488.98 = 414,016.65/x
  3. Step 3: Cross multiply
    518,992.65x = 778,488.98 × 414,016.65
  4. Step 4: Simplify right side
    518,992.65x = 322,307,397,491.43
  5. Step 5: Solve for x
    x = 322,307,397,491.43/518,992.65
  6. Step 6: Final answer
    x = 621,024.98

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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.