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Finding the Fourth Proportional to 384,421.68, 530,475.48 and 214,632.72

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Solution

The fourth proportional to 384,421.68, 530,475.48 and 214,632.72 is: 296,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,421.68 : 530,475.48 = 214,632.72 : x
  2. Step 2: Convert to fraction form
    384,421.68/530,475.48 = 214,632.72/x
  3. Step 3: Cross multiply
    384,421.68x = 530,475.48 × 214,632.72
  4. Step 4: Simplify right side
    384,421.68x = 113,857,395,165.71
  5. Step 5: Solve for x
    x = 113,857,395,165.71/384,421.68
  6. Step 6: Final answer
    x = 296,178.39

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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.