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Finding the Fourth Proportional to 380,242.82, 570,167.40 and 202,702.16

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Solution

The fourth proportional to 380,242.82, 570,167.40 and 202,702.16 is: 303,948.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,242.82 : 570,167.40 = 202,702.16 : x
  2. Step 2: Convert to fraction form
    380,242.82/570,167.40 = 202,702.16/x
  3. Step 3: Cross multiply
    380,242.82x = 570,167.40 × 202,702.16
  4. Step 4: Simplify right side
    380,242.82x = 115,574,163,541.58
  5. Step 5: Solve for x
    x = 115,574,163,541.58/380,242.82
  6. Step 6: Final answer
    x = 303,948.31

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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.