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Finding the Fourth Proportional to 290,644.02, 435,965.49 and 77,412.06

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Solution

The fourth proportional to 290,644.02, 435,965.49 and 77,412.06 is: 116,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,644.02 : 435,965.49 = 77,412.06 : x
  2. Step 2: Convert to fraction form
    290,644.02/435,965.49 = 77,412.06/x
  3. Step 3: Cross multiply
    290,644.02x = 435,965.49 × 77,412.06
  4. Step 4: Simplify right side
    290,644.02x = 33,748,986,669.81
  5. Step 5: Solve for x
    x = 33,748,986,669.81/290,644.02
  6. Step 6: Final answer
    x = 116,117.95

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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.