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Finding the Fourth Proportional to 430,638,652.20, 645,957,978.30 and 201,056,140.20

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Solution

The fourth proportional to 430,638,652.20, 645,957,978.30 and 201,056,140.20 is: 301,584,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,638,652.20 : 645,957,978.30 = 201,056,140.20 : x
  2. Step 2: Convert to fraction form
    430,638,652.20/645,957,978.30 = 201,056,140.20/x
  3. Step 3: Cross multiply
    430,638,652.20x = 645,957,978.30 × 201,056,140.20
  4. Step 4: Simplify right side
    430,638,652.20x = 129,873,817,848,393,344
  5. Step 5: Solve for x
    x = 129,873,817,848,393,344/430,638,652.20
  6. Step 6: Final answer
    x = 301,584,210.30

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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.