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Finding the Fourth Proportional to 768,098.82, 1,152,148.35 and 207,133.38

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Solution

The fourth proportional to 768,098.82, 1,152,148.35 and 207,133.38 is: 310,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,098.82 : 1,152,148.35 = 207,133.38 : x
  2. Step 2: Convert to fraction form
    768,098.82/1,152,148.35 = 207,133.38/x
  3. Step 3: Cross multiply
    768,098.82x = 1,152,148.35 × 207,133.38
  4. Step 4: Simplify right side
    768,098.82x = 238,648,381,996.92
  5. Step 5: Solve for x
    x = 238,648,381,996.92/768,098.82
  6. Step 6: Final answer
    x = 310,700.10

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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.