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Finding the Fourth Proportional to 706,659.90, 975,206.70 and 384,387.23

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Solution

The fourth proportional to 706,659.90, 975,206.70 and 384,387.23 is: 530,463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,659.90 : 975,206.70 = 384,387.23 : x
  2. Step 2: Convert to fraction form
    706,659.90/975,206.70 = 384,387.23/x
  3. Step 3: Cross multiply
    706,659.90x = 975,206.70 × 384,387.23
  4. Step 4: Simplify right side
    706,659.90x = 374,856,997,214.41
  5. Step 5: Solve for x
    x = 374,856,997,214.41/706,659.90
  6. Step 6: Final answer
    x = 530,463.09

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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.