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Finding the Fourth Proportional to 405,426.40, 608,312.40 and 255,781.60

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Solution

The fourth proportional to 405,426.40, 608,312.40 and 255,781.60 is: 383,781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,426.40 : 608,312.40 = 255,781.60 : x
  2. Step 2: Convert to fraction form
    405,426.40/608,312.40 = 255,781.60/x
  3. Step 3: Cross multiply
    405,426.40x = 608,312.40 × 255,781.60
  4. Step 4: Simplify right side
    405,426.40x = 155,595,118,971.84
  5. Step 5: Solve for x
    x = 155,595,118,971.84/405,426.40
  6. Step 6: Final answer
    x = 383,781.42

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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.