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Finding the Fourth Proportional to 565,923.42, 780,578.58 and 384,319.80

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Solution

The fourth proportional to 565,923.42, 780,578.58 and 384,319.80 is: 530,092.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,923.42 : 780,578.58 = 384,319.80 : x
  2. Step 2: Convert to fraction form
    565,923.42/780,578.58 = 384,319.80/x
  3. Step 3: Cross multiply
    565,923.42x = 780,578.58 × 384,319.80
  4. Step 4: Simplify right side
    565,923.42x = 299,991,803,749.88
  5. Step 5: Solve for x
    x = 299,991,803,749.88/565,923.42
  6. Step 6: Final answer
    x = 530,092.58

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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.