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Finding the Fourth Proportional to 500,284.68, 750,413.40 and 140,458.53

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Solution

The fourth proportional to 500,284.68, 750,413.40 and 140,458.53 is: 210,683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,284.68 : 750,413.40 = 140,458.53 : x
  2. Step 2: Convert to fraction form
    500,284.68/750,413.40 = 140,458.53/x
  3. Step 3: Cross multiply
    500,284.68x = 750,413.40 × 140,458.53
  4. Step 4: Simplify right side
    500,284.68x = 105,401,963,056.30
  5. Step 5: Solve for x
    x = 105,401,963,056.30/500,284.68
  6. Step 6: Final answer
    x = 210,683.97

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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.