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Finding the Fourth Proportional to 402,854.86, 555,943.41 and 219,095.14

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Solution

The fourth proportional to 402,854.86, 555,943.41 and 219,095.14 is: 302,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,854.86 : 555,943.41 = 219,095.14 : x
  2. Step 2: Convert to fraction form
    402,854.86/555,943.41 = 219,095.14/x
  3. Step 3: Cross multiply
    402,854.86x = 555,943.41 × 219,095.14
  4. Step 4: Simplify right side
    402,854.86x = 121,804,499,246.03
  5. Step 5: Solve for x
    x = 121,804,499,246.03/402,854.86
  6. Step 6: Final answer
    x = 302,353.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.