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Finding the Fourth Proportional to 315,048,005.70, 472,572,008.55 and 85,016,721.30

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Solution

The fourth proportional to 315,048,005.70, 472,572,008.55 and 85,016,721.30 is: 127,525,081.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,048,005.70 : 472,572,008.55 = 85,016,721.30 : x
  2. Step 2: Convert to fraction form
    315,048,005.70/472,572,008.55 = 85,016,721.30/x
  3. Step 3: Cross multiply
    315,048,005.70x = 472,572,008.55 × 85,016,721.30
  4. Step 4: Simplify right side
    315,048,005.70x = 40,176,522,745,076,568
  5. Step 5: Solve for x
    x = 40,176,522,745,076,568/315,048,005.70
  6. Step 6: Final answer
    x = 127,525,081.95

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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.