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Finding the Fourth Proportional to 655,896.42, 905,113.44 and 369,443.16

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Solution

The fourth proportional to 655,896.42, 905,113.44 and 369,443.16 is: 509,818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,896.42 : 905,113.44 = 369,443.16 : x
  2. Step 2: Convert to fraction form
    655,896.42/905,113.44 = 369,443.16/x
  3. Step 3: Cross multiply
    655,896.42x = 905,113.44 × 369,443.16
  4. Step 4: Simplify right side
    655,896.42x = 334,387,969,432.07
  5. Step 5: Solve for x
    x = 334,387,969,432.07/655,896.42
  6. Step 6: Final answer
    x = 509,818.26

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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.