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Finding the Fourth Proportional to 402,854.36, 555,942.72 and 219,094.64

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Solution

The fourth proportional to 402,854.36, 555,942.72 and 219,094.64 is: 302,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,854.36 : 555,942.72 = 219,094.64 : x
  2. Step 2: Convert to fraction form
    402,854.36/555,942.72 = 219,094.64/x
  3. Step 3: Cross multiply
    402,854.36x = 555,942.72 × 219,094.64
  4. Step 4: Simplify right side
    402,854.36x = 121,804,070,099.02
  5. Step 5: Solve for x
    x = 121,804,070,099.02/402,854.36
  6. Step 6: Final answer
    x = 302,352.62

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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.