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Finding the Fourth Proportional to 565,698.04, 780,683.34 and 311,068.60

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Solution

The fourth proportional to 565,698.04, 780,683.34 and 311,068.60 is: 429,285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,698.04 : 780,683.34 = 311,068.60 : x
  2. Step 2: Convert to fraction form
    565,698.04/780,683.34 = 311,068.60/x
  3. Step 3: Cross multiply
    565,698.04x = 780,683.34 × 311,068.60
  4. Step 4: Simplify right side
    565,698.04x = 242,846,073,617.12
  5. Step 5: Solve for x
    x = 242,846,073,617.12/565,698.04
  6. Step 6: Final answer
    x = 429,285.69

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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.