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Finding the Fourth Proportional to 316,938.97, 475,404.79 and 77,054.23

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Solution

The fourth proportional to 316,938.97, 475,404.79 and 77,054.23 is: 115,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,938.97 : 475,404.79 = 77,054.23 : x
  2. Step 2: Convert to fraction form
    316,938.97/475,404.79 = 77,054.23/x
  3. Step 3: Cross multiply
    316,938.97x = 475,404.79 × 77,054.23
  4. Step 4: Simplify right side
    316,938.97x = 36,631,950,031.76
  5. Step 5: Solve for x
    x = 36,631,950,031.76/316,938.97
  6. Step 6: Final answer
    x = 115,580.45

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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.