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Finding the Fourth Proportional to 407,860.16, 562,862.97 and 279,068.74

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Solution

The fourth proportional to 407,860.16, 562,862.97 and 279,068.74 is: 385,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,860.16 : 562,862.97 = 279,068.74 : x
  2. Step 2: Convert to fraction form
    407,860.16/562,862.97 = 279,068.74/x
  3. Step 3: Cross multiply
    407,860.16x = 562,862.97 × 279,068.74
  4. Step 4: Simplify right side
    407,860.16x = 157,077,458,423.40
  5. Step 5: Solve for x
    x = 157,077,458,423.40/407,860.16
  6. Step 6: Final answer
    x = 385,125.78

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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.