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Finding the Fourth Proportional to 278,483.84, 384,308.08 and 151,159.52

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Solution

The fourth proportional to 278,483.84, 384,308.08 and 151,159.52 is: 208,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,483.84 : 384,308.08 = 151,159.52 : x
  2. Step 2: Convert to fraction form
    278,483.84/384,308.08 = 151,159.52/x
  3. Step 3: Cross multiply
    278,483.84x = 384,308.08 × 151,159.52
  4. Step 4: Simplify right side
    278,483.84x = 58,091,824,904.92
  5. Step 5: Solve for x
    x = 58,091,824,904.92/278,483.84
  6. Step 6: Final answer
    x = 208,600.34

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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.