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Finding the Fourth Proportional to 405,686.60, 608,529.90 and 139,423.40

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Solution

The fourth proportional to 405,686.60, 608,529.90 and 139,423.40 is: 209,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,686.60 : 608,529.90 = 139,423.40 : x
  2. Step 2: Convert to fraction form
    405,686.60/608,529.90 = 139,423.40/x
  3. Step 3: Cross multiply
    405,686.60x = 608,529.90 × 139,423.40
  4. Step 4: Simplify right side
    405,686.60x = 84,843,307,659.66
  5. Step 5: Solve for x
    x = 84,843,307,659.66/405,686.60
  6. Step 6: Final answer
    x = 209,135.10

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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.