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Finding the Fourth Proportional to 646,970.40, 970,282.80 and 197,690.40

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Solution

The fourth proportional to 646,970.40, 970,282.80 and 197,690.40 is: 296,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,970.40 : 970,282.80 = 197,690.40 : x
  2. Step 2: Convert to fraction form
    646,970.40/970,282.80 = 197,690.40/x
  3. Step 3: Cross multiply
    646,970.40x = 970,282.80 × 197,690.40
  4. Step 4: Simplify right side
    646,970.40x = 191,815,594,845.12
  5. Step 5: Solve for x
    x = 191,815,594,845.12/646,970.40
  6. Step 6: Final answer
    x = 296,482.80

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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.