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Finding the Fourth Proportional to 565,716, 780,706.32 and 311,085.60

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Solution

The fourth proportional to 565,716, 780,706.32 and 311,085.60 is: 429,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,716 : 780,706.32 = 311,085.60 : x
  2. Step 2: Convert to fraction form
    565,716/780,706.32 = 311,085.60/x
  3. Step 3: Cross multiply
    565,716x = 780,706.32 × 311,085.60
  4. Step 4: Simplify right side
    565,716x = 242,866,493,980.99
  5. Step 5: Solve for x
    x = 242,866,493,980.99/565,716
  6. Step 6: Final answer
    x = 429,308.16

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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.