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Finding the Fourth Proportional to 535,569.80, 803,354.70 and 219,864.20

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Solution

The fourth proportional to 535,569.80, 803,354.70 and 219,864.20 is: 329,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,569.80 : 803,354.70 = 219,864.20 : x
  2. Step 2: Convert to fraction form
    535,569.80/803,354.70 = 219,864.20/x
  3. Step 3: Cross multiply
    535,569.80x = 803,354.70 × 219,864.20
  4. Step 4: Simplify right side
    535,569.80x = 176,628,938,431.74
  5. Step 5: Solve for x
    x = 176,628,938,431.74/535,569.80
  6. Step 6: Final answer
    x = 329,796.30

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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.