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Finding the Fourth Proportional to 493,303, 680,763.02 and 266,953.36

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Solution

The fourth proportional to 493,303, 680,763.02 and 266,953.36 is: 368,398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,303 : 680,763.02 = 266,953.36 : x
  2. Step 2: Convert to fraction form
    493,303/680,763.02 = 266,953.36/x
  3. Step 3: Cross multiply
    493,303x = 680,763.02 × 266,953.36
  4. Step 4: Simplify right side
    493,303x = 181,731,975,552.75
  5. Step 5: Solve for x
    x = 181,731,975,552.75/493,303
  6. Step 6: Final answer
    x = 368,398.28

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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.