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Finding the Fourth Proportional to 659,284.32, 909,808.56 and 357,471.84

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Solution

The fourth proportional to 659,284.32, 909,808.56 and 357,471.84 is: 493,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,284.32 : 909,808.56 = 357,471.84 : x
  2. Step 2: Convert to fraction form
    659,284.32/909,808.56 = 357,471.84/x
  3. Step 3: Cross multiply
    659,284.32x = 909,808.56 × 357,471.84
  4. Step 4: Simplify right side
    659,284.32x = 325,230,939,990.95
  5. Step 5: Solve for x
    x = 325,230,939,990.95/659,284.32
  6. Step 6: Final answer
    x = 493,309.08

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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.