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Finding the Fourth Proportional to 686,539.62, 947,480.81 and 380,711.93

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Solution

The fourth proportional to 686,539.62, 947,480.81 and 380,711.93 is: 525,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,539.62 : 947,480.81 = 380,711.93 : x
  2. Step 2: Convert to fraction form
    686,539.62/947,480.81 = 380,711.93/x
  3. Step 3: Cross multiply
    686,539.62x = 947,480.81 × 380,711.93
  4. Step 4: Simplify right side
    686,539.62x = 360,717,241,172.10
  5. Step 5: Solve for x
    x = 360,717,241,172.10/686,539.62
  6. Step 6: Final answer
    x = 525,413.58

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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.