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Finding the Fourth Proportional to 375,894.59, 518,702.43 and 212,543.08

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Solution

The fourth proportional to 375,894.59, 518,702.43 and 212,543.08 is: 293,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,894.59 : 518,702.43 = 212,543.08 : x
  2. Step 2: Convert to fraction form
    375,894.59/518,702.43 = 212,543.08/x
  3. Step 3: Cross multiply
    375,894.59x = 518,702.43 × 212,543.08
  4. Step 4: Simplify right side
    375,894.59x = 110,246,612,075.68
  5. Step 5: Solve for x
    x = 110,246,612,075.68/375,894.59
  6. Step 6: Final answer
    x = 293,291.30

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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.