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Finding the Fourth Proportional to 630,129.60, 945,808.80 and 314,942.40

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Solution

The fourth proportional to 630,129.60, 945,808.80 and 314,942.40 is: 472,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,129.60 : 945,808.80 = 314,942.40 : x
  2. Step 2: Convert to fraction form
    630,129.60/945,808.80 = 314,942.40/x
  3. Step 3: Cross multiply
    630,129.60x = 945,808.80 × 314,942.40
  4. Step 4: Simplify right side
    630,129.60x = 297,875,293,413.12
  5. Step 5: Solve for x
    x = 297,875,293,413.12/630,129.60
  6. Step 6: Final answer
    x = 472,720.68

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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.