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Finding the Fourth Proportional to 659,664, 910,336.80 and 357,859.20

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Solution

The fourth proportional to 659,664, 910,336.80 and 357,859.20 is: 493,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,664 : 910,336.80 = 357,859.20 : x
  2. Step 2: Convert to fraction form
    659,664/910,336.80 = 357,859.20/x
  3. Step 3: Cross multiply
    659,664x = 910,336.80 × 357,859.20
  4. Step 4: Simplify right side
    659,664x = 325,772,398,978.56
  5. Step 5: Solve for x
    x = 325,772,398,978.56/659,664
  6. Step 6: Final answer
    x = 493,845.96

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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.