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Finding the Fourth Proportional to 716,774.40, 989,035.35 and 410,791.86

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Solution

The fourth proportional to 716,774.40, 989,035.35 and 410,791.86 is: 566,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,774.40 : 989,035.35 = 410,791.86 : x
  2. Step 2: Convert to fraction form
    716,774.40/989,035.35 = 410,791.86/x
  3. Step 3: Cross multiply
    716,774.40x = 989,035.35 × 410,791.86
  4. Step 4: Simplify right side
    716,774.40x = 406,287,671,032.25
  5. Step 5: Solve for x
    x = 406,287,671,032.25/716,774.40
  6. Step 6: Final answer
    x = 566,827.82

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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.