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Finding the Fourth Proportional to 287,408.40, 430,907.80 and 109,846.80

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Solution

The fourth proportional to 287,408.40, 430,907.80 and 109,846.80 is: 164,691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,408.40 : 430,907.80 = 109,846.80 : x
  2. Step 2: Convert to fraction form
    287,408.40/430,907.80 = 109,846.80/x
  3. Step 3: Cross multiply
    287,408.40x = 430,907.80 × 109,846.80
  4. Step 4: Simplify right side
    287,408.40x = 47,333,842,925.04
  5. Step 5: Solve for x
    x = 47,333,842,925.04/287,408.40
  6. Step 6: Final answer
    x = 164,691.93

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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.