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Finding the Fourth Proportional to 523,750.40, 785,241.60 and 208,051.20

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Solution

The fourth proportional to 523,750.40, 785,241.60 and 208,051.20 is: 311,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,750.40 : 785,241.60 = 208,051.20 : x
  2. Step 2: Convert to fraction form
    523,750.40/785,241.60 = 208,051.20/x
  3. Step 3: Cross multiply
    523,750.40x = 785,241.60 × 208,051.20
  4. Step 4: Simplify right side
    523,750.40x = 163,370,457,169.92
  5. Step 5: Solve for x
    x = 163,370,457,169.92/523,750.40
  6. Step 6: Final answer
    x = 311,924.26

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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.