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Finding the Fourth Proportional to 219,218.80, 328,828.20 and 53,006.80

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Solution

The fourth proportional to 219,218.80, 328,828.20 and 53,006.80 is: 79,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,218.80 : 328,828.20 = 53,006.80 : x
  2. Step 2: Convert to fraction form
    219,218.80/328,828.20 = 53,006.80/x
  3. Step 3: Cross multiply
    219,218.80x = 328,828.20 × 53,006.80
  4. Step 4: Simplify right side
    219,218.80x = 17,430,130,631.76
  5. Step 5: Solve for x
    x = 17,430,130,631.76/219,218.80
  6. Step 6: Final answer
    x = 79,510.20

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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.