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Finding the Fourth Proportional to 290,146,430.40, 435,219,645.60 and 203,982,129.60

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Solution

The fourth proportional to 290,146,430.40, 435,219,645.60 and 203,982,129.60 is: 305,973,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,146,430.40 : 435,219,645.60 = 203,982,129.60 : x
  2. Step 2: Convert to fraction form
    290,146,430.40/435,219,645.60 = 203,982,129.60/x
  3. Step 3: Cross multiply
    290,146,430.40x = 435,219,645.60 × 203,982,129.60
  4. Step 4: Simplify right side
    290,146,430.40x = 88,777,030,153,245,280
  5. Step 5: Solve for x
    x = 88,777,030,153,245,280/290,146,430.40
  6. Step 6: Final answer
    x = 305,973,194.40

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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.