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Finding the Fourth Proportional to 290,457.79, 435,857.22 and 121,965.16

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Solution

The fourth proportional to 290,457.79, 435,857.22 and 121,965.16 is: 183,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,457.79 : 435,857.22 = 121,965.16 : x
  2. Step 2: Convert to fraction form
    290,457.79/435,857.22 = 121,965.16/x
  3. Step 3: Cross multiply
    290,457.79x = 435,857.22 × 121,965.16
  4. Step 4: Simplify right side
    290,457.79x = 53,159,395,574.46
  5. Step 5: Solve for x
    x = 53,159,395,574.46/290,457.79
  6. Step 6: Final answer
    x = 183,019.35

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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.