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Finding the Fourth Proportional to 610,128.80, 915,239.98 and 205,323

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Solution

The fourth proportional to 610,128.80, 915,239.98 and 205,323 is: 308,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,128.80 : 915,239.98 = 205,323 : x
  2. Step 2: Convert to fraction form
    610,128.80/915,239.98 = 205,323/x
  3. Step 3: Cross multiply
    610,128.80x = 915,239.98 × 205,323
  4. Step 4: Simplify right side
    610,128.80x = 187,919,818,413.54
  5. Step 5: Solve for x
    x = 187,919,818,413.54/610,128.80
  6. Step 6: Final answer
    x = 308,000.24

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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.