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Finding the Fourth Proportional to 405,807.55, 608,705.17 and 139,570.38

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Solution

The fourth proportional to 405,807.55, 608,705.17 and 139,570.38 is: 209,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,807.55 : 608,705.17 = 139,570.38 : x
  2. Step 2: Convert to fraction form
    405,807.55/608,705.17 = 139,570.38/x
  3. Step 3: Cross multiply
    405,807.55x = 608,705.17 × 139,570.38
  4. Step 4: Simplify right side
    405,807.55x = 84,957,211,884.86
  5. Step 5: Solve for x
    x = 84,957,211,884.86/405,807.55
  6. Step 6: Final answer
    x = 209,353.45

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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.