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Finding the Fourth Proportional to 659,470.80, 910,071.31 and 357,664.80

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Solution

The fourth proportional to 659,470.80, 910,071.31 and 357,664.80 is: 493,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,470.80 : 910,071.31 = 357,664.80 : x
  2. Step 2: Convert to fraction form
    659,470.80/910,071.31 = 357,664.80/x
  3. Step 3: Cross multiply
    659,470.80x = 910,071.31 × 357,664.80
  4. Step 4: Simplify right side
    659,470.80x = 325,500,473,076.89
  5. Step 5: Solve for x
    x = 325,500,473,076.89/659,470.80
  6. Step 6: Final answer
    x = 493,578.30

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1.5x scale

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.