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Finding the Fourth Proportional to 646,214.40, 970,358.40 and 436,780.80

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Solution

The fourth proportional to 646,214.40, 970,358.40 and 436,780.80 is: 655,871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,214.40 : 970,358.40 = 436,780.80 : x
  2. Step 2: Convert to fraction form
    646,214.40/970,358.40 = 436,780.80/x
  3. Step 3: Cross multiply
    646,214.40x = 970,358.40 × 436,780.80
  4. Step 4: Simplify right side
    646,214.40x = 423,833,918,238.72
  5. Step 5: Solve for x
    x = 423,833,918,238.72/646,214.40
  6. Step 6: Final answer
    x = 655,871.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.