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Finding the Fourth Proportional to 384,225.87, 530,263.40 and 212,160.93

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Solution

The fourth proportional to 384,225.87, 530,263.40 and 212,160.93 is: 292,799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,225.87 : 530,263.40 = 212,160.93 : x
  2. Step 2: Convert to fraction form
    384,225.87/530,263.40 = 212,160.93/x
  3. Step 3: Cross multiply
    384,225.87x = 530,263.40 × 212,160.93
  4. Step 4: Simplify right side
    384,225.87x = 112,501,176,088.96
  5. Step 5: Solve for x
    x = 112,501,176,088.96/384,225.87
  6. Step 6: Final answer
    x = 292,799.59

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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.