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Finding the Fourth Proportional to 505,702.38, 758,664.36 and 190,159.28

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Solution

The fourth proportional to 505,702.38, 758,664.36 and 190,159.28 is: 285,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,702.38 : 758,664.36 = 190,159.28 : x
  2. Step 2: Convert to fraction form
    505,702.38/758,664.36 = 190,159.28/x
  3. Step 3: Cross multiply
    505,702.38x = 758,664.36 × 190,159.28
  4. Step 4: Simplify right side
    505,702.38x = 144,267,068,459.26
  5. Step 5: Solve for x
    x = 144,267,068,459.26/505,702.38
  6. Step 6: Final answer
    x = 285,280.58

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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.