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Finding the Fourth Proportional to 509,413.60, 702,994.16 and 318,538.72

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Solution

The fourth proportional to 509,413.60, 702,994.16 and 318,538.72 is: 439,585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,413.60 : 702,994.16 = 318,538.72 : x
  2. Step 2: Convert to fraction form
    509,413.60/702,994.16 = 318,538.72/x
  3. Step 3: Cross multiply
    509,413.60x = 702,994.16 × 318,538.72
  4. Step 4: Simplify right side
    509,413.60x = 223,930,859,893.88
  5. Step 5: Solve for x
    x = 223,930,859,893.88/509,413.60
  6. Step 6: Final answer
    x = 439,585.55

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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.