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Finding the Fourth Proportional to 278,866.63, 384,838.39 and 151,542.23

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Solution

The fourth proportional to 278,866.63, 384,838.39 and 151,542.23 is: 209,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,866.63 : 384,838.39 = 151,542.23 : x
  2. Step 2: Convert to fraction form
    278,866.63/384,838.39 = 151,542.23/x
  3. Step 3: Cross multiply
    278,866.63x = 384,838.39 × 151,542.23
  4. Step 4: Simplify right side
    278,866.63x = 58,319,266,075.45
  5. Step 5: Solve for x
    x = 58,319,266,075.45/278,866.63
  6. Step 6: Final answer
    x = 209,129.60

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1.5x scale

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.