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Finding the Fourth Proportional to 601,878.40, 902,817.60 and 202,386.40

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Solution

The fourth proportional to 601,878.40, 902,817.60 and 202,386.40 is: 303,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,878.40 : 902,817.60 = 202,386.40 : x
  2. Step 2: Convert to fraction form
    601,878.40/902,817.60 = 202,386.40/x
  3. Step 3: Cross multiply
    601,878.40x = 902,817.60 × 202,386.40
  4. Step 4: Simplify right side
    601,878.40x = 182,718,003,920.64
  5. Step 5: Solve for x
    x = 182,718,003,920.64/601,878.40
  6. Step 6: Final answer
    x = 303,579.60

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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.