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Finding the Fourth Proportional to 706,509.62, 974,978.48 and 384,218.86

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Solution

The fourth proportional to 706,509.62, 974,978.48 and 384,218.86 is: 530,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,509.62 : 974,978.48 = 384,218.86 : x
  2. Step 2: Convert to fraction form
    706,509.62/974,978.48 = 384,218.86/x
  3. Step 3: Cross multiply
    706,509.62x = 974,978.48 × 384,218.86
  4. Step 4: Simplify right side
    706,509.62x = 374,605,120,110.13
  5. Step 5: Solve for x
    x = 374,605,120,110.13/706,509.62
  6. Step 6: Final answer
    x = 530,219.42

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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.