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Finding the Fourth Proportional to 354,031.56, 488,320.65 and 210,681

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Solution

The fourth proportional to 354,031.56, 488,320.65 and 210,681 is: 290,595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,031.56 : 488,320.65 = 210,681 : x
  2. Step 2: Convert to fraction form
    354,031.56/488,320.65 = 210,681/x
  3. Step 3: Cross multiply
    354,031.56x = 488,320.65 × 210,681
  4. Step 4: Simplify right side
    354,031.56x = 102,879,882,862.65
  5. Step 5: Solve for x
    x = 102,879,882,862.65/354,031.56
  6. Step 6: Final answer
    x = 290,595.23

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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.