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Finding the Fourth Proportional to 761,697.72, 1,142,644.86 and 256,040.64

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Solution

The fourth proportional to 761,697.72, 1,142,644.86 and 256,040.64 is: 384,094.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,697.72 : 1,142,644.86 = 256,040.64 : x
  2. Step 2: Convert to fraction form
    761,697.72/1,142,644.86 = 256,040.64/x
  3. Step 3: Cross multiply
    761,697.72x = 1,142,644.86 × 256,040.64
  4. Step 4: Simplify right side
    761,697.72x = 292,563,521,247.11
  5. Step 5: Solve for x
    x = 292,563,521,247.11/761,697.72
  6. Step 6: Final answer
    x = 384,094.00

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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.