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Finding the Fourth Proportional to 524,397.60, 786,790.80 and 209,080.80

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Solution

The fourth proportional to 524,397.60, 786,790.80 and 209,080.80 is: 313,698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,397.60 : 786,790.80 = 209,080.80 : x
  2. Step 2: Convert to fraction form
    524,397.60/786,790.80 = 209,080.80/x
  3. Step 3: Cross multiply
    524,397.60x = 786,790.80 × 209,080.80
  4. Step 4: Simplify right side
    524,397.60x = 164,502,849,896.64
  5. Step 5: Solve for x
    x = 164,502,849,896.64/524,397.60
  6. Step 6: Final answer
    x = 313,698.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.