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Finding the Fourth Proportional to 402,847.68, 604,271.70 and 103,328.28

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Solution

The fourth proportional to 402,847.68, 604,271.70 and 103,328.28 is: 154,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,847.68 : 604,271.70 = 103,328.28 : x
  2. Step 2: Convert to fraction form
    402,847.68/604,271.70 = 103,328.28/x
  3. Step 3: Cross multiply
    402,847.68x = 604,271.70 × 103,328.28
  4. Step 4: Simplify right side
    402,847.68x = 62,438,355,413.68
  5. Step 5: Solve for x
    x = 62,438,355,413.68/402,847.68
  6. Step 6: Final answer
    x = 154,992.47

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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.