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Finding the Fourth Proportional to 404,495,193.60, 606,742,790.40 and 400,464,115.20

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Solution

The fourth proportional to 404,495,193.60, 606,742,790.40 and 400,464,115.20 is: 600,696,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,495,193.60 : 606,742,790.40 = 400,464,115.20 : x
  2. Step 2: Convert to fraction form
    404,495,193.60/606,742,790.40 = 400,464,115.20/x
  3. Step 3: Cross multiply
    404,495,193.60x = 606,742,790.40 × 400,464,115.20
  4. Step 4: Simplify right side
    404,495,193.60x = 242,978,714,711,515,040
  5. Step 5: Solve for x
    x = 242,978,714,711,515,040/404,495,193.60
  6. Step 6: Final answer
    x = 600,696,172.80

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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.