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Finding the Fourth Proportional to 403,792.80, 606,272.40 and 304,648.80

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Solution

The fourth proportional to 403,792.80, 606,272.40 and 304,648.80 is: 457,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,792.80 : 606,272.40 = 304,648.80 : x
  2. Step 2: Convert to fraction form
    403,792.80/606,272.40 = 304,648.80/x
  3. Step 3: Cross multiply
    403,792.80x = 606,272.40 × 304,648.80
  4. Step 4: Simplify right side
    403,792.80x = 184,700,159,133.12
  5. Step 5: Solve for x
    x = 184,700,159,133.12/403,792.80
  6. Step 6: Final answer
    x = 457,413.21

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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.