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Finding the Fourth Proportional to 278,303.34, 384,058.77 and 150,978.94

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Solution

The fourth proportional to 278,303.34, 384,058.77 and 150,978.94 is: 208,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,303.34 : 384,058.77 = 150,978.94 : x
  2. Step 2: Convert to fraction form
    278,303.34/384,058.77 = 150,978.94/x
  3. Step 3: Cross multiply
    278,303.34x = 384,058.77 × 150,978.94
  4. Step 4: Simplify right side
    278,303.34x = 57,984,784,465.99
  5. Step 5: Solve for x
    x = 57,984,784,465.99/278,303.34
  6. Step 6: Final answer
    x = 208,351.02

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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.