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Finding the Fourth Proportional to 282,812.72, 390,289.26 and 153,759.89

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Solution

The fourth proportional to 282,812.72, 390,289.26 and 153,759.89 is: 212,192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,812.72 : 390,289.26 = 153,759.89 : x
  2. Step 2: Convert to fraction form
    282,812.72/390,289.26 = 153,759.89/x
  3. Step 3: Cross multiply
    282,812.72x = 390,289.26 × 153,759.89
  4. Step 4: Simplify right side
    282,812.72x = 60,010,831,734.34
  5. Step 5: Solve for x
    x = 60,010,831,734.34/282,812.72
  6. Step 6: Final answer
    x = 212,192.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.