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Finding the Fourth Proportional to 288,123.55, 432,236.05 and 98,539.34

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Solution

The fourth proportional to 288,123.55, 432,236.05 and 98,539.34 is: 147,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,123.55 : 432,236.05 = 98,539.34 : x
  2. Step 2: Convert to fraction form
    288,123.55/432,236.05 = 98,539.34/x
  3. Step 3: Cross multiply
    288,123.55x = 432,236.05 × 98,539.34
  4. Step 4: Simplify right side
    288,123.55x = 42,592,252,683.68
  5. Step 5: Solve for x
    x = 42,592,252,683.68/288,123.55
  6. Step 6: Final answer
    x = 147,826.35

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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.