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Finding the Fourth Proportional to 560,140.38, 840,206.25 and 139,413.42

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Solution

The fourth proportional to 560,140.38, 840,206.25 and 139,413.42 is: 209,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,140.38 : 840,206.25 = 139,413.42 : x
  2. Step 2: Convert to fraction form
    560,140.38/840,206.25 = 139,413.42/x
  3. Step 3: Cross multiply
    560,140.38x = 840,206.25 × 139,413.42
  4. Step 4: Simplify right side
    560,140.38x = 117,136,026,817.88
  5. Step 5: Solve for x
    x = 117,136,026,817.88/560,140.38
  6. Step 6: Final answer
    x = 209,119.05

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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.