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Finding the Fourth Proportional to 600,258.60, 828,428.31 and 345,659.40

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Solution

The fourth proportional to 600,258.60, 828,428.31 and 345,659.40 is: 477,051.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,258.60 : 828,428.31 = 345,659.40 : x
  2. Step 2: Convert to fraction form
    600,258.60/828,428.31 = 345,659.40/x
  3. Step 3: Cross multiply
    600,258.60x = 828,428.31 × 345,659.40
  4. Step 4: Simplify right side
    600,258.60x = 286,354,032,577.61
  5. Step 5: Solve for x
    x = 286,354,032,577.61/600,258.60
  6. Step 6: Final answer
    x = 477,051.11

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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.