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Finding the Fourth Proportional to 355,312.40, 490,337.16 and 212,044.64

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Solution

The fourth proportional to 355,312.40, 490,337.16 and 212,044.64 is: 292,625.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,312.40 : 490,337.16 = 212,044.64 : x
  2. Step 2: Convert to fraction form
    355,312.40/490,337.16 = 212,044.64/x
  3. Step 3: Cross multiply
    355,312.40x = 490,337.16 × 212,044.64
  4. Step 4: Simplify right side
    355,312.40x = 103,973,366,570.82
  5. Step 5: Solve for x
    x = 103,973,366,570.82/355,312.40
  6. Step 6: Final answer
    x = 292,625.21

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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.