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Finding the Fourth Proportional to 215,413.40, 323,120.10 and 97,315.40

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Solution

The fourth proportional to 215,413.40, 323,120.10 and 97,315.40 is: 145,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,413.40 : 323,120.10 = 97,315.40 : x
  2. Step 2: Convert to fraction form
    215,413.40/323,120.10 = 97,315.40/x
  3. Step 3: Cross multiply
    215,413.40x = 323,120.10 × 97,315.40
  4. Step 4: Simplify right side
    215,413.40x = 31,444,561,779.54
  5. Step 5: Solve for x
    x = 31,444,561,779.54/215,413.40
  6. Step 6: Final answer
    x = 145,973.10

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1.5x scale

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.