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Finding the Fourth Proportional to 685,500.76, 945,697.89 and 413,413.93

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Solution

The fourth proportional to 685,500.76, 945,697.89 and 413,413.93 is: 570,334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,500.76 : 945,697.89 = 413,413.93 : x
  2. Step 2: Convert to fraction form
    685,500.76/945,697.89 = 413,413.93/x
  3. Step 3: Cross multiply
    685,500.76x = 945,697.89 × 413,413.93
  4. Step 4: Simplify right side
    685,500.76x = 390,964,681,297.61
  5. Step 5: Solve for x
    x = 390,964,681,297.61/685,500.76
  6. Step 6: Final answer
    x = 570,334.42

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.