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Finding the Fourth Proportional to 656,153.36, 905,491.63 and 354,347.36

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Solution

The fourth proportional to 656,153.36, 905,491.63 and 354,347.36 is: 488,999.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,153.36 : 905,491.63 = 354,347.36 : x
  2. Step 2: Convert to fraction form
    656,153.36/905,491.63 = 354,347.36/x
  3. Step 3: Cross multiply
    656,153.36x = 905,491.63 × 354,347.36
  4. Step 4: Simplify right side
    656,153.36x = 320,858,566,820.86
  5. Step 5: Solve for x
    x = 320,858,566,820.86/656,153.36
  6. Step 6: Final answer
    x = 488,999.35

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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.