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Finding the Fourth Proportional to 307,424.95, 424,174.19 and 186,563.50

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Solution

The fourth proportional to 307,424.95, 424,174.19 and 186,563.50 is: 257,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,424.95 : 424,174.19 = 186,563.50 : x
  2. Step 2: Convert to fraction form
    307,424.95/424,174.19 = 186,563.50/x
  3. Step 3: Cross multiply
    307,424.95x = 424,174.19 × 186,563.50
  4. Step 4: Simplify right side
    307,424.95x = 79,135,421,496.07
  5. Step 5: Solve for x
    x = 79,135,421,496.07/307,424.95
  6. Step 6: Final answer
    x = 257,413.79

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1.5x scale

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.