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Finding the Fourth Proportional to 423,514.80, 584,283.74 and 242,129.28

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Solution

The fourth proportional to 423,514.80, 584,283.74 and 242,129.28 is: 334,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,514.80 : 584,283.74 = 242,129.28 : x
  2. Step 2: Convert to fraction form
    423,514.80/584,283.74 = 242,129.28/x
  3. Step 3: Cross multiply
    423,514.80x = 584,283.74 × 242,129.28
  4. Step 4: Simplify right side
    423,514.80x = 141,472,200,071.26
  5. Step 5: Solve for x
    x = 141,472,200,071.26/423,514.80
  6. Step 6: Final answer
    x = 334,043.11

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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.