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Finding the Fourth Proportional to 402,855.36, 555,944.10 and 219,095.64

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Solution

The fourth proportional to 402,855.36, 555,944.10 and 219,095.64 is: 302,354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,855.36 : 555,944.10 = 219,095.64 : x
  2. Step 2: Convert to fraction form
    402,855.36/555,944.10 = 219,095.64/x
  3. Step 3: Cross multiply
    402,855.36x = 555,944.10 × 219,095.64
  4. Step 4: Simplify right side
    402,855.36x = 121,804,928,393.72
  5. Step 5: Solve for x
    x = 121,804,928,393.72/402,855.36
  6. Step 6: Final answer
    x = 302,354.00

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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.