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Finding the Fourth Proportional to 430,413.72, 645,595.68 and 164,201.16

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Solution

The fourth proportional to 430,413.72, 645,595.68 and 164,201.16 is: 246,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,413.72 : 645,595.68 = 164,201.16 : x
  2. Step 2: Convert to fraction form
    430,413.72/645,595.68 = 164,201.16/x
  3. Step 3: Cross multiply
    430,413.72x = 645,595.68 × 164,201.16
  4. Step 4: Simplify right side
    430,413.72x = 106,007,559,546.99
  5. Step 5: Solve for x
    x = 106,007,559,546.99/430,413.72
  6. Step 6: Final answer
    x = 246,292.24

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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.