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Finding the Fourth Proportional to 540,311.94, 810,213.36 and 315,737.28

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Solution

The fourth proportional to 540,311.94, 810,213.36 and 315,737.28 is: 473,457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,311.94 : 810,213.36 = 315,737.28 : x
  2. Step 2: Convert to fraction form
    540,311.94/810,213.36 = 315,737.28/x
  3. Step 3: Cross multiply
    540,311.94x = 810,213.36 × 315,737.28
  4. Step 4: Simplify right side
    540,311.94x = 255,814,562,506.06
  5. Step 5: Solve for x
    x = 255,814,562,506.06/540,311.94
  6. Step 6: Final answer
    x = 473,457.17

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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.