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Finding the Fourth Proportional to 405,109.60, 607,664.40 and 286,914.40

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Solution

The fourth proportional to 405,109.60, 607,664.40 and 286,914.40 is: 430,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,109.60 : 607,664.40 = 286,914.40 : x
  2. Step 2: Convert to fraction form
    405,109.60/607,664.40 = 286,914.40/x
  3. Step 3: Cross multiply
    405,109.60x = 607,664.40 × 286,914.40
  4. Step 4: Simplify right side
    405,109.60x = 174,347,666,727.36
  5. Step 5: Solve for x
    x = 174,347,666,727.36/405,109.60
  6. Step 6: Final answer
    x = 430,371.60

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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.