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Finding the Fourth Proportional to 434,739.60, 652,109.40 and 308,768.40

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Solution

The fourth proportional to 434,739.60, 652,109.40 and 308,768.40 is: 463,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,739.60 : 652,109.40 = 308,768.40 : x
  2. Step 2: Convert to fraction form
    434,739.60/652,109.40 = 308,768.40/x
  3. Step 3: Cross multiply
    434,739.60x = 652,109.40 × 308,768.40
  4. Step 4: Simplify right side
    434,739.60x = 201,350,776,062.96
  5. Step 5: Solve for x
    x = 201,350,776,062.96/434,739.60
  6. Step 6: Final answer
    x = 463,152.60

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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.