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Finding the Fourth Proportional to 399,413,341.60, 599,175,999.60 and 157,019,869.60

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Solution

The fourth proportional to 399,413,341.60, 599,175,999.60 and 157,019,869.60 is: 235,551,814.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,413,341.60 : 599,175,999.60 = 157,019,869.60 : x
  2. Step 2: Convert to fraction form
    399,413,341.60/599,175,999.60 = 157,019,869.60/x
  3. Step 3: Cross multiply
    399,413,341.60x = 599,175,999.60 × 157,019,869.60
  4. Step 4: Simplify right side
    399,413,341.60x = 94,082,537,324,641,648
  5. Step 5: Solve for x
    x = 94,082,537,324,641,648/399,413,341.60
  6. Step 6: Final answer
    x = 235,551,814.44

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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.