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Finding the Fourth Proportional to 565,536.70, 780,443.22 and 310,904.29

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Solution

The fourth proportional to 565,536.70, 780,443.22 and 310,904.29 is: 429,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,536.70 : 780,443.22 = 310,904.29 : x
  2. Step 2: Convert to fraction form
    565,536.70/780,443.22 = 310,904.29/x
  3. Step 3: Cross multiply
    565,536.70x = 780,443.22 × 310,904.29
  4. Step 4: Simplify right side
    565,536.70x = 242,643,145,199.41
  5. Step 5: Solve for x
    x = 242,643,145,199.41/565,536.70
  6. Step 6: Final answer
    x = 429,049.34

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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.