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Finding the Fourth Proportional to 288,030.60, 432,045.90 and 271,409.40

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Solution

The fourth proportional to 288,030.60, 432,045.90 and 271,409.40 is: 407,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,030.60 : 432,045.90 = 271,409.40 : x
  2. Step 2: Convert to fraction form
    288,030.60/432,045.90 = 271,409.40/x
  3. Step 3: Cross multiply
    288,030.60x = 432,045.90 × 271,409.40
  4. Step 4: Simplify right side
    288,030.60x = 117,261,318,491.46
  5. Step 5: Solve for x
    x = 117,261,318,491.46/288,030.60
  6. Step 6: Final answer
    x = 407,114.10

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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.