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Finding the Fourth Proportional to 646,132.40, 970,235.40 and 436,698.80

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Solution

The fourth proportional to 646,132.40, 970,235.40 and 436,698.80 is: 655,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,132.40 : 970,235.40 = 436,698.80 : x
  2. Step 2: Convert to fraction form
    646,132.40/970,235.40 = 436,698.80/x
  3. Step 3: Cross multiply
    646,132.40x = 970,235.40 × 436,698.80
  4. Step 4: Simplify right side
    646,132.40x = 423,700,634,897.52
  5. Step 5: Solve for x
    x = 423,700,634,897.52/646,132.40
  6. Step 6: Final answer
    x = 655,748.94

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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.