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Finding the Fourth Proportional to 287,114.63, 430,762.47 and 135,305.58

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Solution

The fourth proportional to 287,114.63, 430,762.47 and 135,305.58 is: 203,001.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,114.63 : 430,762.47 = 135,305.58 : x
  2. Step 2: Convert to fraction form
    287,114.63/430,762.47 = 135,305.58/x
  3. Step 3: Cross multiply
    287,114.63x = 430,762.47 × 135,305.58
  4. Step 4: Simplify right side
    287,114.63x = 58,284,565,845.58
  5. Step 5: Solve for x
    x = 58,284,565,845.58/287,114.63
  6. Step 6: Final answer
    x = 203,001.03

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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.