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Finding the Fourth Proportional to 463,710.70, 643,194.65 and 451,419.76

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Solution

The fourth proportional to 463,710.70, 643,194.65 and 451,419.76 is: 626,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,710.70 : 643,194.65 = 451,419.76 : x
  2. Step 2: Convert to fraction form
    463,710.70/643,194.65 = 451,419.76/x
  3. Step 3: Cross multiply
    463,710.70x = 643,194.65 × 451,419.76
  4. Step 4: Simplify right side
    463,710.70x = 290,350,774,536.28
  5. Step 5: Solve for x
    x = 290,350,774,536.28/463,710.70
  6. Step 6: Final answer
    x = 626,146.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.