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Finding the Fourth Proportional to 540,312.94, 810,214.86 and 315,738.28

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Solution

The fourth proportional to 540,312.94, 810,214.86 and 315,738.28 is: 473,458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,312.94 : 810,214.86 = 315,738.28 : x
  2. Step 2: Convert to fraction form
    540,312.94/810,214.86 = 315,738.28/x
  3. Step 3: Cross multiply
    540,312.94x = 810,214.86 × 315,738.28
  4. Step 4: Simplify right side
    540,312.94x = 255,815,846,326.84
  5. Step 5: Solve for x
    x = 255,815,846,326.84/540,312.94
  6. Step 6: Final answer
    x = 473,458.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.