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Finding the Fourth Proportional to 565,089.75, 779,824.16 and 310,457.34

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Solution

The fourth proportional to 565,089.75, 779,824.16 and 310,457.34 is: 428,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,089.75 : 779,824.16 = 310,457.34 : x
  2. Step 2: Convert to fraction form
    565,089.75/779,824.16 = 310,457.34/x
  3. Step 3: Cross multiply
    565,089.75x = 779,824.16 × 310,457.34
  4. Step 4: Simplify right side
    565,089.75x = 242,102,133,993.26
  5. Step 5: Solve for x
    x = 242,102,133,993.26/565,089.75
  6. Step 6: Final answer
    x = 428,431.30

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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.