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Finding the Fourth Proportional to 402,628, 604,138.82 and 285,054.88

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Solution

The fourth proportional to 402,628, 604,138.82 and 285,054.88 is: 427,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,628 : 604,138.82 = 285,054.88 : x
  2. Step 2: Convert to fraction form
    402,628/604,138.82 = 285,054.88/x
  3. Step 3: Cross multiply
    402,628x = 604,138.82 × 285,054.88
  4. Step 4: Simplify right side
    402,628x = 172,212,718,838.44
  5. Step 5: Solve for x
    x = 172,212,718,838.44/402,628
  6. Step 6: Final answer
    x = 427,721.67

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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.