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Finding the Fourth Proportional to 298,908.42, 448,625.81 and 156,855.14

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Solution

The fourth proportional to 298,908.42, 448,625.81 and 156,855.14 is: 235,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,908.42 : 448,625.81 = 156,855.14 : x
  2. Step 2: Convert to fraction form
    298,908.42/448,625.81 = 156,855.14/x
  3. Step 3: Cross multiply
    298,908.42x = 448,625.81 × 156,855.14
  4. Step 4: Simplify right side
    298,908.42x = 70,369,264,235.16
  5. Step 5: Solve for x
    x = 70,369,264,235.16/298,908.42
  6. Step 6: Final answer
    x = 235,420.82

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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.