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Finding the Fourth Proportional to 292,724.64, 403,968 and 165,397.68

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Solution

The fourth proportional to 292,724.64, 403,968 and 165,397.68 is: 228,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,724.64 : 403,968 = 165,397.68 : x
  2. Step 2: Convert to fraction form
    292,724.64/403,968 = 165,397.68/x
  3. Step 3: Cross multiply
    292,724.64x = 403,968 × 165,397.68
  4. Step 4: Simplify right side
    292,724.64x = 66,815,369,994.24
  5. Step 5: Solve for x
    x = 66,815,369,994.24/292,724.64
  6. Step 6: Final answer
    x = 228,253.32

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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.