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Finding the Fourth Proportional to 612,141.90, 917,884.80 and 256,754.40

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Solution

The fourth proportional to 612,141.90, 917,884.80 and 256,754.40 is: 384,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,141.90 : 917,884.80 = 256,754.40 : x
  2. Step 2: Convert to fraction form
    612,141.90/917,884.80 = 256,754.40/x
  3. Step 3: Cross multiply
    612,141.90x = 917,884.80 × 256,754.40
  4. Step 4: Simplify right side
    612,141.90x = 235,670,961,093.12
  5. Step 5: Solve for x
    x = 235,670,961,093.12/612,141.90
  6. Step 6: Final answer
    x = 384,994.00

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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.