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Finding the Fourth Proportional to 306,570.64, 423,064.42 and 170,602.25

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Solution

The fourth proportional to 306,570.64, 423,064.42 and 170,602.25 is: 235,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,570.64 : 423,064.42 = 170,602.25 : x
  2. Step 2: Convert to fraction form
    306,570.64/423,064.42 = 170,602.25/x
  3. Step 3: Cross multiply
    306,570.64x = 423,064.42 × 170,602.25
  4. Step 4: Simplify right side
    306,570.64x = 72,175,743,569.66
  5. Step 5: Solve for x
    x = 72,175,743,569.66/306,570.64
  6. Step 6: Final answer
    x = 235,429.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.