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Finding the Fourth Proportional to 281,420.72, 421,461 and 162,842.16

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Solution

The fourth proportional to 281,420.72, 421,461 and 162,842.16 is: 243,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,420.72 : 421,461 = 162,842.16 : x
  2. Step 2: Convert to fraction form
    281,420.72/421,461 = 162,842.16/x
  3. Step 3: Cross multiply
    281,420.72x = 421,461 × 162,842.16
  4. Step 4: Simplify right side
    281,420.72x = 68,631,619,595.76
  5. Step 5: Solve for x
    x = 68,631,619,595.76/281,420.72
  6. Step 6: Final answer
    x = 243,875.50

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1.5x scale

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.