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Finding the Fourth Proportional to 561,707,136.60, 840,918,413.70 and 400,464,000.60

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Solution

The fourth proportional to 561,707,136.60, 840,918,413.70 and 400,464,000.60 is: 599,525,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,707,136.60 : 840,918,413.70 = 400,464,000.60 : x
  2. Step 2: Convert to fraction form
    561,707,136.60/840,918,413.70 = 400,464,000.60/x
  3. Step 3: Cross multiply
    561,707,136.60x = 840,918,413.70 × 400,464,000.60
  4. Step 4: Simplify right side
    561,707,136.60x = 336,757,552,128,507,904
  5. Step 5: Solve for x
    x = 336,757,552,128,507,904/561,707,136.60
  6. Step 6: Final answer
    x = 599,525,144.31

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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.