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Finding the Fourth Proportional to 314,813,871.80, 472,220,807.70 and 161,758,863.80

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Solution

The fourth proportional to 314,813,871.80, 472,220,807.70 and 161,758,863.80 is: 242,638,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,813,871.80 : 472,220,807.70 = 161,758,863.80 : x
  2. Step 2: Convert to fraction form
    314,813,871.80/472,220,807.70 = 161,758,863.80/x
  3. Step 3: Cross multiply
    314,813,871.80x = 472,220,807.70 × 161,758,863.80
  4. Step 4: Simplify right side
    314,813,871.80x = 76,385,901,316,270,288
  5. Step 5: Solve for x
    x = 76,385,901,316,270,288/314,813,871.80
  6. Step 6: Final answer
    x = 242,638,295.70

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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.