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Finding the Fourth Proportional to 565,762.04, 780,771.66 and 311,132.60

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Solution

The fourth proportional to 565,762.04, 780,771.66 and 311,132.60 is: 429,374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,762.04 : 780,771.66 = 311,132.60 : x
  2. Step 2: Convert to fraction form
    565,762.04/780,771.66 = 311,132.60/x
  3. Step 3: Cross multiply
    565,762.04x = 780,771.66 × 311,132.60
  4. Step 4: Simplify right side
    565,762.04x = 242,923,516,582.12
  5. Step 5: Solve for x
    x = 242,923,516,582.12/565,762.04
  6. Step 6: Final answer
    x = 429,374.01

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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.