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Finding the Fourth Proportional to 314,724, 471,742.56 and 154,909.92

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Solution

The fourth proportional to 314,724, 471,742.56 and 154,909.92 is: 232,195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,724 : 471,742.56 = 154,909.92 : x
  2. Step 2: Convert to fraction form
    314,724/471,742.56 = 154,909.92/x
  3. Step 3: Cross multiply
    314,724x = 471,742.56 × 154,909.92
  4. Step 4: Simplify right side
    314,724x = 73,077,602,230.20
  5. Step 5: Solve for x
    x = 73,077,602,230.20/314,724
  6. Step 6: Final answer
    x = 232,195.84

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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.