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Finding the Fourth Proportional to 289,918.40, 434,920.80 and 102,914.24

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Solution

The fourth proportional to 289,918.40, 434,920.80 and 102,914.24 is: 154,386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,918.40 : 434,920.80 = 102,914.24 : x
  2. Step 2: Convert to fraction form
    289,918.40/434,920.80 = 102,914.24/x
  3. Step 3: Cross multiply
    289,918.40x = 434,920.80 × 102,914.24
  4. Step 4: Simplify right side
    289,918.40x = 44,759,543,592.19
  5. Step 5: Solve for x
    x = 44,759,543,592.19/289,918.40
  6. Step 6: Final answer
    x = 154,386.69

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1.5x scale

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.