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Finding the Fourth Proportional to 428,487.84, 642,774.36 and 158,688.18

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Solution

The fourth proportional to 428,487.84, 642,774.36 and 158,688.18 is: 238,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,487.84 : 642,774.36 = 158,688.18 : x
  2. Step 2: Convert to fraction form
    428,487.84/642,774.36 = 158,688.18/x
  3. Step 3: Cross multiply
    428,487.84x = 642,774.36 × 158,688.18
  4. Step 4: Simplify right side
    428,487.84x = 102,000,693,339.07
  5. Step 5: Solve for x
    x = 102,000,693,339.07/428,487.84
  6. Step 6: Final answer
    x = 238,048.05

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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.