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Finding the Fourth Proportional to 646,922.40, 970,210.80 and 197,642.40

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Solution

The fourth proportional to 646,922.40, 970,210.80 and 197,642.40 is: 296,410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,922.40 : 970,210.80 = 197,642.40 : x
  2. Step 2: Convert to fraction form
    646,922.40/970,210.80 = 197,642.40/x
  3. Step 3: Cross multiply
    646,922.40x = 970,210.80 × 197,642.40
  4. Step 4: Simplify right side
    646,922.40x = 191,754,791,017.92
  5. Step 5: Solve for x
    x = 191,754,791,017.92/646,922.40
  6. Step 6: Final answer
    x = 296,410.81

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1.5x scale

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.