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Finding the Fourth Proportional to 565,191.36, 779,964 and 310,534.08

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Solution

The fourth proportional to 565,191.36, 779,964 and 310,534.08 is: 428,536.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,191.36 : 779,964 = 310,534.08 : x
  2. Step 2: Convert to fraction form
    565,191.36/779,964 = 310,534.08/x
  3. Step 3: Cross multiply
    565,191.36x = 779,964 × 310,534.08
  4. Step 4: Simplify right side
    565,191.36x = 242,205,403,173.12
  5. Step 5: Solve for x
    x = 242,205,403,173.12/565,191.36
  6. Step 6: Final answer
    x = 428,536.99

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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.