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Finding the Fourth Proportional to 209,664,661.60, 314,496,992.40 and 148,442,658.40

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Solution

The fourth proportional to 209,664,661.60, 314,496,992.40 and 148,442,658.40 is: 222,663,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,664,661.60 : 314,496,992.40 = 148,442,658.40 : x
  2. Step 2: Convert to fraction form
    209,664,661.60/314,496,992.40 = 148,442,658.40/x
  3. Step 3: Cross multiply
    209,664,661.60x = 314,496,992.40 × 148,442,658.40
  4. Step 4: Simplify right side
    209,664,661.60x = 46,684,769,610,660,592
  5. Step 5: Solve for x
    x = 46,684,769,610,660,592/209,664,661.60
  6. Step 6: Final answer
    x = 222,663,987.60

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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.