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Finding the Fourth Proportional to 384,457.46, 530,566.30 and 212,384.30

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Solution

The fourth proportional to 384,457.46, 530,566.30 and 212,384.30 is: 293,098.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,457.46 : 530,566.30 = 212,384.30 : x
  2. Step 2: Convert to fraction form
    384,457.46/530,566.30 = 212,384.30/x
  3. Step 3: Cross multiply
    384,457.46x = 530,566.30 × 212,384.30
  4. Step 4: Simplify right side
    384,457.46x = 112,683,952,229.09
  5. Step 5: Solve for x
    x = 112,683,952,229.09/384,457.46
  6. Step 6: Final answer
    x = 293,098.62

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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.