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Finding the Fourth Proportional to 289,870.20, 434,795.40 and 112,415.40

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Solution

The fourth proportional to 289,870.20, 434,795.40 and 112,415.40 is: 168,619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,870.20 : 434,795.40 = 112,415.40 : x
  2. Step 2: Convert to fraction form
    289,870.20/434,795.40 = 112,415.40/x
  3. Step 3: Cross multiply
    289,870.20x = 434,795.40 × 112,415.40
  4. Step 4: Simplify right side
    289,870.20x = 48,877,698,809.16
  5. Step 5: Solve for x
    x = 48,877,698,809.16/289,870.20
  6. Step 6: Final answer
    x = 168,619.26

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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.