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Finding the Fourth Proportional to 530,010, 731,413.80 and 303,786.72

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Solution

The fourth proportional to 530,010, 731,413.80 and 303,786.72 is: 419,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,010 : 731,413.80 = 303,786.72 : x
  2. Step 2: Convert to fraction form
    530,010/731,413.80 = 303,786.72/x
  3. Step 3: Cross multiply
    530,010x = 731,413.80 × 303,786.72
  4. Step 4: Simplify right side
    530,010x = 222,193,799,264.74
  5. Step 5: Solve for x
    x = 222,193,799,264.74/530,010
  6. Step 6: Final answer
    x = 419,225.67

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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.