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Finding the Fourth Proportional to 493,801.63, 740,702.52 and 138,815.74

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Solution

The fourth proportional to 493,801.63, 740,702.52 and 138,815.74 is: 208,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,801.63 : 740,702.52 = 138,815.74 : x
  2. Step 2: Convert to fraction form
    493,801.63/740,702.52 = 138,815.74/x
  3. Step 3: Cross multiply
    493,801.63x = 740,702.52 × 138,815.74
  4. Step 4: Simplify right side
    493,801.63x = 102,821,164,036.07
  5. Step 5: Solve for x
    x = 102,821,164,036.07/493,801.63
  6. Step 6: Final answer
    x = 208,223.62

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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.