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Finding the Fourth Proportional to 686,442.48, 947,751.96 and 428,711.28

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Solution

The fourth proportional to 686,442.48, 947,751.96 and 428,711.28 is: 591,909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,442.48 : 947,751.96 = 428,711.28 : x
  2. Step 2: Convert to fraction form
    686,442.48/947,751.96 = 428,711.28/x
  3. Step 3: Cross multiply
    686,442.48x = 947,751.96 × 428,711.28
  4. Step 4: Simplify right side
    686,442.48x = 406,311,955,894.11
  5. Step 5: Solve for x
    x = 406,311,955,894.11/686,442.48
  6. Step 6: Final answer
    x = 591,909.69

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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.