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Finding the Fourth Proportional to 328,896,671.40, 493,345,007.10 and 298,663,583.40

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Solution

The fourth proportional to 328,896,671.40, 493,345,007.10 and 298,663,583.40 is: 447,995,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,896,671.40 : 493,345,007.10 = 298,663,583.40 : x
  2. Step 2: Convert to fraction form
    328,896,671.40/493,345,007.10 = 298,663,583.40/x
  3. Step 3: Cross multiply
    328,896,671.40x = 493,345,007.10 × 298,663,583.40
  4. Step 4: Simplify right side
    328,896,671.40x = 147,344,187,672,984,448
  5. Step 5: Solve for x
    x = 147,344,187,672,984,448/328,896,671.40
  6. Step 6: Final answer
    x = 447,995,375.10

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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.