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Finding the Fourth Proportional to 659,136.80, 989,871.60 and 509,740.40

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Solution

The fourth proportional to 659,136.80, 989,871.60 and 509,740.40 is: 765,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,136.80 : 989,871.60 = 509,740.40 : x
  2. Step 2: Convert to fraction form
    659,136.80/989,871.60 = 509,740.40/x
  3. Step 3: Cross multiply
    659,136.80x = 989,871.60 × 509,740.40
  4. Step 4: Simplify right side
    659,136.80x = 504,577,545,332.64
  5. Step 5: Solve for x
    x = 504,577,545,332.64/659,136.80
  6. Step 6: Final answer
    x = 765,512.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.