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Finding the Fourth Proportional to 219,208.48, 328,827.56 and 77,036.47

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Solution

The fourth proportional to 219,208.48, 328,827.56 and 77,036.47 is: 115,559.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,208.48 : 328,827.56 = 77,036.47 : x
  2. Step 2: Convert to fraction form
    219,208.48/328,827.56 = 77,036.47/x
  3. Step 3: Cross multiply
    219,208.48x = 328,827.56 × 77,036.47
  4. Step 4: Simplify right side
    219,208.48x = 25,331,714,461.11
  5. Step 5: Solve for x
    x = 25,331,714,461.11/219,208.48
  6. Step 6: Final answer
    x = 115,559.92

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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.