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Finding the Fourth Proportional to 565,069.14, 779,800.86 and 310,425.78

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Solution

The fourth proportional to 565,069.14, 779,800.86 and 310,425.78 is: 428,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,069.14 : 779,800.86 = 310,425.78 : x
  2. Step 2: Convert to fraction form
    565,069.14/779,800.86 = 310,425.78/x
  3. Step 3: Cross multiply
    565,069.14x = 779,800.86 × 310,425.78
  4. Step 4: Simplify right side
    565,069.14x = 242,070,290,210.17
  5. Step 5: Solve for x
    x = 242,070,290,210.17/565,069.14
  6. Step 6: Final answer
    x = 428,390.57

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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.