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Finding the Fourth Proportional to 294,013.13, 405,308.66 and 207,820.05

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Solution

The fourth proportional to 294,013.13, 405,308.66 and 207,820.05 is: 286,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,013.13 : 405,308.66 = 207,820.05 : x
  2. Step 2: Convert to fraction form
    294,013.13/405,308.66 = 207,820.05/x
  3. Step 3: Cross multiply
    294,013.13x = 405,308.66 × 207,820.05
  4. Step 4: Simplify right side
    294,013.13x = 84,231,266,506.18
  5. Step 5: Solve for x
    x = 84,231,266,506.18/294,013.13
  6. Step 6: Final answer
    x = 286,488.11

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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.