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Finding the Fourth Proportional to 287,237.16, 430,885.22 and 109,893.33

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Solution

The fourth proportional to 287,237.16, 430,885.22 and 109,893.33 is: 164,851.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,237.16 : 430,885.22 = 109,893.33 : x
  2. Step 2: Convert to fraction form
    287,237.16/430,885.22 = 109,893.33/x
  3. Step 3: Cross multiply
    287,237.16x = 430,885.22 × 109,893.33
  4. Step 4: Simplify right side
    287,237.16x = 47,351,411,124.12
  5. Step 5: Solve for x
    x = 47,351,411,124.12/287,237.16
  6. Step 6: Final answer
    x = 164,851.27

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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.