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Finding the Fourth Proportional to 761,820, 1,051,311.60 and 422,340

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Solution

The fourth proportional to 761,820, 1,051,311.60 and 422,340 is: 582,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,820 : 1,051,311.60 = 422,340 : x
  2. Step 2: Convert to fraction form
    761,820/1,051,311.60 = 422,340/x
  3. Step 3: Cross multiply
    761,820x = 1,051,311.60 × 422,340
  4. Step 4: Simplify right side
    761,820x = 444,010,941,144.00
  5. Step 5: Solve for x
    x = 444,010,941,144.00/761,820
  6. Step 6: Final answer
    x = 582,829.20

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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.