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Finding the Fourth Proportional to 282,784.80, 424,031.40 and 105,200.40

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Solution

The fourth proportional to 282,784.80, 424,031.40 and 105,200.40 is: 157,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,784.80 : 424,031.40 = 105,200.40 : x
  2. Step 2: Convert to fraction form
    282,784.80/424,031.40 = 105,200.40/x
  3. Step 3: Cross multiply
    282,784.80x = 424,031.40 × 105,200.40
  4. Step 4: Simplify right side
    282,784.80x = 44,608,272,892.56
  5. Step 5: Solve for x
    x = 44,608,272,892.56/282,784.80
  6. Step 6: Final answer
    x = 157,746.36

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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.