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Finding the Fourth Proportional to 565,544, 780,468.96 and 310,913.60

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Solution

The fourth proportional to 565,544, 780,468.96 and 310,913.60 is: 429,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,544 : 780,468.96 = 310,913.60 : x
  2. Step 2: Convert to fraction form
    565,544/780,468.96 = 310,913.60/x
  3. Step 3: Cross multiply
    565,544x = 780,468.96 × 310,913.60
  4. Step 4: Simplify right side
    565,544x = 242,658,414,041.86
  5. Step 5: Solve for x
    x = 242,658,414,041.86/565,544
  6. Step 6: Final answer
    x = 429,070.80

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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.