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Finding the Fourth Proportional to 686,443.48, 947,753.34 and 428,712.28

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Solution

The fourth proportional to 686,443.48, 947,753.34 and 428,712.28 is: 591,911.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,443.48 : 947,753.34 = 428,712.28 : x
  2. Step 2: Convert to fraction form
    686,443.48/947,753.34 = 428,712.28/x
  3. Step 3: Cross multiply
    686,443.48x = 947,753.34 × 428,712.28
  4. Step 4: Simplify right side
    686,443.48x = 406,313,495,269.02
  5. Step 5: Solve for x
    x = 406,313,495,269.02/686,443.48
  6. Step 6: Final answer
    x = 591,911.07

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1.5x scale

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.