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Finding the Fourth Proportional to 710,713.18, 980,689.44 and 456,408.82

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Solution

The fourth proportional to 710,713.18, 980,689.44 and 456,408.82 is: 629,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,713.18 : 980,689.44 = 456,408.82 : x
  2. Step 2: Convert to fraction form
    710,713.18/980,689.44 = 456,408.82/x
  3. Step 3: Cross multiply
    710,713.18x = 980,689.44 × 456,408.82
  4. Step 4: Simplify right side
    710,713.18x = 447,595,310,096.86
  5. Step 5: Solve for x
    x = 447,595,310,096.86/710,713.18
  6. Step 6: Final answer
    x = 629,783.33

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Double scale
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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.