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Finding the Fourth Proportional to 355,648.16, 490,006.80 and 234,575.84

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Solution

The fourth proportional to 355,648.16, 490,006.80 and 234,575.84 is: 323,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,648.16 : 490,006.80 = 234,575.84 : x
  2. Step 2: Convert to fraction form
    355,648.16/490,006.80 = 234,575.84/x
  3. Step 3: Cross multiply
    355,648.16x = 490,006.80 × 234,575.84
  4. Step 4: Simplify right side
    355,648.16x = 114,943,756,715.71
  5. Step 5: Solve for x
    x = 114,943,756,715.71/355,648.16
  6. Step 6: Final answer
    x = 323,195.14

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1.5x scale

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.