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Finding the Fourth Proportional to 553,989.30, 830,742.58 and 294,270.06

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Solution

The fourth proportional to 553,989.30, 830,742.58 and 294,270.06 is: 441,276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,989.30 : 830,742.58 = 294,270.06 : x
  2. Step 2: Convert to fraction form
    553,989.30/830,742.58 = 294,270.06/x
  3. Step 3: Cross multiply
    553,989.30x = 830,742.58 × 294,270.06
  4. Step 4: Simplify right side
    553,989.30x = 244,462,668,861.16
  5. Step 5: Solve for x
    x = 244,462,668,861.16/553,989.30
  6. Step 6: Final answer
    x = 441,276.88

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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.