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Finding the Fourth Proportional to 282,872.52, 390,374.10 and 155,557.80

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Solution

The fourth proportional to 282,872.52, 390,374.10 and 155,557.80 is: 214,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,872.52 : 390,374.10 = 155,557.80 : x
  2. Step 2: Convert to fraction form
    282,872.52/390,374.10 = 155,557.80/x
  3. Step 3: Cross multiply
    282,872.52x = 390,374.10 × 155,557.80
  4. Step 4: Simplify right side
    282,872.52x = 60,725,736,172.98
  5. Step 5: Solve for x
    x = 60,725,736,172.98/282,872.52
  6. Step 6: Final answer
    x = 214,675.28

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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.