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Finding the Fourth Proportional to 421,413.42, 582,019.94 and 389,526.96

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Solution

The fourth proportional to 421,413.42, 582,019.94 and 389,526.96 is: 537,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,413.42 : 582,019.94 = 389,526.96 : x
  2. Step 2: Convert to fraction form
    421,413.42/582,019.94 = 389,526.96/x
  3. Step 3: Cross multiply
    421,413.42x = 582,019.94 × 389,526.96
  4. Step 4: Simplify right side
    421,413.42x = 226,712,457,887.58
  5. Step 5: Solve for x
    x = 226,712,457,887.58/421,413.42
  6. Step 6: Final answer
    x = 537,981.11

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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.