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Finding the Fourth Proportional to 505,702.22, 758,664.14 and 190,159.16

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Solution

The fourth proportional to 505,702.22, 758,664.14 and 190,159.16 is: 285,280.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,702.22 : 758,664.14 = 190,159.16 : x
  2. Step 2: Convert to fraction form
    505,702.22/758,664.14 = 190,159.16/x
  3. Step 3: Cross multiply
    505,702.22x = 758,664.14 × 190,159.16
  4. Step 4: Simplify right side
    505,702.22x = 144,266,930,840.41
  5. Step 5: Solve for x
    x = 144,266,930,840.41/505,702.22
  6. Step 6: Final answer
    x = 285,280.40

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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.