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Finding the Fourth Proportional to 286,643.90, 430,153.16 and 109,152.65

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Solution

The fourth proportional to 286,643.90, 430,153.16 and 109,152.65 is: 163,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,643.90 : 430,153.16 = 109,152.65 : x
  2. Step 2: Convert to fraction form
    286,643.90/430,153.16 = 109,152.65/x
  3. Step 3: Cross multiply
    286,643.90x = 430,153.16 × 109,152.65
  4. Step 4: Simplify right side
    286,643.90x = 46,952,354,623.35
  5. Step 5: Solve for x
    x = 46,952,354,623.35/286,643.90
  6. Step 6: Final answer
    x = 163,800.30

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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.