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Finding the Fourth Proportional to 292,728.64, 403,973.52 and 165,401.68

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Solution

The fourth proportional to 292,728.64, 403,973.52 and 165,401.68 is: 228,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,728.64 : 403,973.52 = 165,401.68 : x
  2. Step 2: Convert to fraction form
    292,728.64/403,973.52 = 165,401.68/x
  3. Step 3: Cross multiply
    292,728.64x = 403,973.52 × 165,401.68
  4. Step 4: Simplify right side
    292,728.64x = 66,817,898,883.51
  5. Step 5: Solve for x
    x = 66,817,898,883.51/292,728.64
  6. Step 6: Final answer
    x = 228,258.84

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1.5x scale

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.