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Finding the Fourth Proportional to 290,034, 435,071.95 and 121,384.62

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Solution

The fourth proportional to 290,034, 435,071.95 and 121,384.62 is: 182,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,034 : 435,071.95 = 121,384.62 : x
  2. Step 2: Convert to fraction form
    290,034/435,071.95 = 121,384.62/x
  3. Step 3: Cross multiply
    290,034x = 435,071.95 × 121,384.62
  4. Step 4: Simplify right side
    290,034x = 52,811,043,019.95
  5. Step 5: Solve for x
    x = 52,811,043,019.95/290,034
  6. Step 6: Final answer
    x = 182,085.70

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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.