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Finding the Fourth Proportional to 420,146.42, 579,801.65 and 229,159.22

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Solution

The fourth proportional to 420,146.42, 579,801.65 and 229,159.22 is: 316,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,146.42 : 579,801.65 = 229,159.22 : x
  2. Step 2: Convert to fraction form
    420,146.42/579,801.65 = 229,159.22/x
  3. Step 3: Cross multiply
    420,146.42x = 579,801.65 × 229,159.22
  4. Step 4: Simplify right side
    420,146.42x = 132,866,893,868.71
  5. Step 5: Solve for x
    x = 132,866,893,868.71/420,146.42
  6. Step 6: Final answer
    x = 316,239.50

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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.