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Finding the Fourth Proportional to 706,368.30, 974,781.48 and 384,078.51

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Solution

The fourth proportional to 706,368.30, 974,781.48 and 384,078.51 is: 530,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,368.30 : 974,781.48 = 384,078.51 : x
  2. Step 2: Convert to fraction form
    706,368.30/974,781.48 = 384,078.51/x
  3. Step 3: Cross multiply
    706,368.30x = 974,781.48 × 384,078.51
  4. Step 4: Simplify right side
    706,368.30x = 374,392,616,493.60
  5. Step 5: Solve for x
    x = 374,392,616,493.60/706,368.30
  6. Step 6: Final answer
    x = 530,024.66

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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.