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Finding the Fourth Proportional to 698,690.70, 1,047,344.85 and 343,413.90

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Solution

The fourth proportional to 698,690.70, 1,047,344.85 and 343,413.90 is: 514,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,690.70 : 1,047,344.85 = 343,413.90 : x
  2. Step 2: Convert to fraction form
    698,690.70/1,047,344.85 = 343,413.90/x
  3. Step 3: Cross multiply
    698,690.70x = 1,047,344.85 × 343,413.90
  4. Step 4: Simplify right side
    698,690.70x = 359,672,779,583.42
  5. Step 5: Solve for x
    x = 359,672,779,583.42/698,690.70
  6. Step 6: Final answer
    x = 514,781.12

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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.