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Finding the Fourth Proportional to 316,949.69, 475,420.93 and 77,064.95

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Solution

The fourth proportional to 316,949.69, 475,420.93 and 77,064.95 is: 115,596.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,949.69 : 475,420.93 = 77,064.95 : x
  2. Step 2: Convert to fraction form
    316,949.69/475,420.93 = 77,064.95/x
  3. Step 3: Cross multiply
    316,949.69x = 475,420.93 × 77,064.95
  4. Step 4: Simplify right side
    316,949.69x = 36,638,290,199.40
  5. Step 5: Solve for x
    x = 36,638,290,199.40/316,949.69
  6. Step 6: Final answer
    x = 115,596.55

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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.