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Finding the Fourth Proportional to 312,012,475.20, 468,018,712.80 and 158,957,467.20

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Solution

The fourth proportional to 312,012,475.20, 468,018,712.80 and 158,957,467.20 is: 238,436,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,012,475.20 : 468,018,712.80 = 158,957,467.20 : x
  2. Step 2: Convert to fraction form
    312,012,475.20/468,018,712.80 = 158,957,467.20/x
  3. Step 3: Cross multiply
    312,012,475.20x = 468,018,712.80 × 158,957,467.20
  4. Step 4: Simplify right side
    312,012,475.20x = 74,395,069,188,892,224
  5. Step 5: Solve for x
    x = 74,395,069,188,892,224/312,012,475.20
  6. Step 6: Final answer
    x = 238,436,200.80

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1.5x scale

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.