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Finding the Fourth Proportional to 313,666.74, 432,992.52 and 211,830.30

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Solution

The fourth proportional to 313,666.74, 432,992.52 and 211,830.30 is: 292,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,666.74 : 432,992.52 = 211,830.30 : x
  2. Step 2: Convert to fraction form
    313,666.74/432,992.52 = 211,830.30/x
  3. Step 3: Cross multiply
    313,666.74x = 432,992.52 × 211,830.30
  4. Step 4: Simplify right side
    313,666.74x = 91,720,935,409.36
  5. Step 5: Solve for x
    x = 91,720,935,409.36/313,666.74
  6. Step 6: Final answer
    x = 292,415.24

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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.