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Finding the Fourth Proportional to 389,369.31, 583,802.87 and 152,735.91

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Solution

The fourth proportional to 389,369.31, 583,802.87 and 152,735.91 is: 229,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,369.31 : 583,802.87 = 152,735.91 : x
  2. Step 2: Convert to fraction form
    389,369.31/583,802.87 = 152,735.91/x
  3. Step 3: Cross multiply
    389,369.31x = 583,802.87 × 152,735.91
  4. Step 4: Simplify right side
    389,369.31x = 89,167,661,846.38
  5. Step 5: Solve for x
    x = 89,167,661,846.38/389,369.31
  6. Step 6: Final answer
    x = 229,005.37

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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.