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Finding the Fourth Proportional to 298,572.95, 412,031.12 and 162,607.49

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Solution

The fourth proportional to 298,572.95, 412,031.12 and 162,607.49 is: 224,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,572.95 : 412,031.12 = 162,607.49 : x
  2. Step 2: Convert to fraction form
    298,572.95/412,031.12 = 162,607.49/x
  3. Step 3: Cross multiply
    298,572.95x = 412,031.12 × 162,607.49
  4. Step 4: Simplify right side
    298,572.95x = 66,999,346,225.09
  5. Step 5: Solve for x
    x = 66,999,346,225.09/298,572.95
  6. Step 6: Final answer
    x = 224,398.58

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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.