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Finding the Fourth Proportional to 384,655.80, 530,826.61 and 210,229.51

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Solution

The fourth proportional to 384,655.80, 530,826.61 and 210,229.51 is: 290,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,655.80 : 530,826.61 = 210,229.51 : x
  2. Step 2: Convert to fraction form
    384,655.80/530,826.61 = 210,229.51/x
  3. Step 3: Cross multiply
    384,655.80x = 530,826.61 × 210,229.51
  4. Step 4: Simplify right side
    384,655.80x = 111,595,417,313.77
  5. Step 5: Solve for x
    x = 111,595,417,313.77/384,655.80
  6. Step 6: Final answer
    x = 290,117.60

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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.