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Finding the Fourth Proportional to 301,905, 416,522.70 and 181,085.40

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Solution

The fourth proportional to 301,905, 416,522.70 and 181,085.40 is: 249,834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,905 : 416,522.70 = 181,085.40 : x
  2. Step 2: Convert to fraction form
    301,905/416,522.70 = 181,085.40/x
  3. Step 3: Cross multiply
    301,905x = 416,522.70 × 181,085.40
  4. Step 4: Simplify right side
    301,905x = 75,426,179,738.58
  5. Step 5: Solve for x
    x = 75,426,179,738.58/301,905
  6. Step 6: Final answer
    x = 249,834.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.