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Finding the Fourth Proportional to 430,413.80, 645,620.70 and 411,060.20

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Solution

The fourth proportional to 430,413.80, 645,620.70 and 411,060.20 is: 616,590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,413.80 : 645,620.70 = 411,060.20 : x
  2. Step 2: Convert to fraction form
    430,413.80/645,620.70 = 411,060.20/x
  3. Step 3: Cross multiply
    430,413.80x = 645,620.70 × 411,060.20
  4. Step 4: Simplify right side
    430,413.80x = 265,388,974,066.14
  5. Step 5: Solve for x
    x = 265,388,974,066.14/430,413.80
  6. Step 6: Final answer
    x = 616,590.30

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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.