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Finding the Fourth Proportional to 565,560, 780,477.60 and 310,905.60

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Solution

The fourth proportional to 565,560, 780,477.60 and 310,905.60 is: 429,052.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,560 : 780,477.60 = 310,905.60 : x
  2. Step 2: Convert to fraction form
    565,560/780,477.60 = 310,905.60/x
  3. Step 3: Cross multiply
    565,560x = 780,477.60 × 310,905.60
  4. Step 4: Simplify right side
    565,560x = 242,654,856,514.56
  5. Step 5: Solve for x
    x = 242,654,856,514.56/565,560
  6. Step 6: Final answer
    x = 429,052.37

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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.