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Finding the Fourth Proportional to 313,897.55, 433,270.81 and 205,018.54

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Solution

The fourth proportional to 313,897.55, 433,270.81 and 205,018.54 is: 282,985.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,897.55 : 433,270.81 = 205,018.54 : x
  2. Step 2: Convert to fraction form
    313,897.55/433,270.81 = 205,018.54/x
  3. Step 3: Cross multiply
    313,897.55x = 433,270.81 × 205,018.54
  4. Step 4: Simplify right side
    313,897.55x = 88,828,547,935.14
  5. Step 5: Solve for x
    x = 88,828,547,935.14/313,897.55
  6. Step 6: Final answer
    x = 282,985.79

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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.