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Finding the Fourth Proportional to 659,285.32, 909,809.94 and 357,472.84

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Solution

The fourth proportional to 659,285.32, 909,809.94 and 357,472.84 is: 493,310.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,285.32 : 909,809.94 = 357,472.84 : x
  2. Step 2: Convert to fraction form
    659,285.32/909,809.94 = 357,472.84/x
  3. Step 3: Cross multiply
    659,285.32x = 909,809.94 × 357,472.84
  4. Step 4: Simplify right side
    659,285.32x = 325,232,343,112.03
  5. Step 5: Solve for x
    x = 325,232,343,112.03/659,285.32
  6. Step 6: Final answer
    x = 493,310.46

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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.