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Finding the Fourth Proportional to 716,678.29, 989,056.88 and 410,805.55

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Solution

The fourth proportional to 716,678.29, 989,056.88 and 410,805.55 is: 566,935.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,678.29 : 989,056.88 = 410,805.55 : x
  2. Step 2: Convert to fraction form
    716,678.29/989,056.88 = 410,805.55/x
  3. Step 3: Cross multiply
    716,678.29x = 989,056.88 × 410,805.55
  4. Step 4: Simplify right side
    716,678.29x = 406,310,055,569.68
  5. Step 5: Solve for x
    x = 406,310,055,569.68/716,678.29
  6. Step 6: Final answer
    x = 566,935.07

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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.