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Finding the Fourth Proportional to 659,405.50, 909,980.13 and 357,599.50

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Solution

The fourth proportional to 659,405.50, 909,980.13 and 357,599.50 is: 493,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,405.50 : 909,980.13 = 357,599.50 : x
  2. Step 2: Convert to fraction form
    659,405.50/909,980.13 = 357,599.50/x
  3. Step 3: Cross multiply
    659,405.50x = 909,980.13 × 357,599.50
  4. Step 4: Simplify right side
    659,405.50x = 325,408,439,497.94
  5. Step 5: Solve for x
    x = 325,408,439,497.94/659,405.50
  6. Step 6: Final answer
    x = 493,487.60

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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.