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Finding the Fourth Proportional to 315,292.36, 473,006.10 and 90,650.80

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Solution

The fourth proportional to 315,292.36, 473,006.10 and 90,650.80 is: 135,995.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,292.36 : 473,006.10 = 90,650.80 : x
  2. Step 2: Convert to fraction form
    315,292.36/473,006.10 = 90,650.80/x
  3. Step 3: Cross multiply
    315,292.36x = 473,006.10 × 90,650.80
  4. Step 4: Simplify right side
    315,292.36x = 42,878,381,369.88
  5. Step 5: Solve for x
    x = 42,878,381,369.88/315,292.36
  6. Step 6: Final answer
    x = 135,995.62

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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.