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Finding the Fourth Proportional to 421,338.30, 581,751.28 and 260,413.98

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Solution

The fourth proportional to 421,338.30, 581,751.28 and 260,413.98 is: 359,559.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,338.30 : 581,751.28 = 260,413.98 : x
  2. Step 2: Convert to fraction form
    421,338.30/581,751.28 = 260,413.98/x
  3. Step 3: Cross multiply
    421,338.30x = 581,751.28 × 260,413.98
  4. Step 4: Simplify right side
    421,338.30x = 151,496,166,194.89
  5. Step 5: Solve for x
    x = 151,496,166,194.89/421,338.30
  6. Step 6: Final answer
    x = 359,559.45

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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.