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Finding the Fourth Proportional to 290,457.36, 435,856.50 and 121,964.67

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Solution

The fourth proportional to 290,457.36, 435,856.50 and 121,964.67 is: 183,018.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,457.36 : 435,856.50 = 121,964.67 : x
  2. Step 2: Convert to fraction form
    290,457.36/435,856.50 = 121,964.67/x
  3. Step 3: Cross multiply
    290,457.36x = 435,856.50 × 121,964.67
  4. Step 4: Simplify right side
    290,457.36x = 53,159,094,189.86
  5. Step 5: Solve for x
    x = 53,159,094,189.86/290,457.36
  6. Step 6: Final answer
    x = 183,018.58

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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.