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Finding the Fourth Proportional to 472,220,807.70, 708,331,211.55 and 242,638,295.70

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Solution

The fourth proportional to 472,220,807.70, 708,331,211.55 and 242,638,295.70 is: 363,957,443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,220,807.70 : 708,331,211.55 = 242,638,295.70 : x
  2. Step 2: Convert to fraction form
    472,220,807.70/708,331,211.55 = 242,638,295.70/x
  3. Step 3: Cross multiply
    472,220,807.70x = 708,331,211.55 × 242,638,295.70
  4. Step 4: Simplify right side
    472,220,807.70x = 171,868,277,961,608,128
  5. Step 5: Solve for x
    x = 171,868,277,961,608,128/472,220,807.70
  6. Step 6: Final answer
    x = 363,957,443.55

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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.