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Finding the Fourth Proportional to 646,935.40, 970,230.30 and 197,655.40

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Solution

The fourth proportional to 646,935.40, 970,230.30 and 197,655.40 is: 296,430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,935.40 : 970,230.30 = 197,655.40 : x
  2. Step 2: Convert to fraction form
    646,935.40/970,230.30 = 197,655.40/x
  3. Step 3: Cross multiply
    646,935.40x = 970,230.30 × 197,655.40
  4. Step 4: Simplify right side
    646,935.40x = 191,771,258,038.62
  5. Step 5: Solve for x
    x = 191,771,258,038.62/646,935.40
  6. Step 6: Final answer
    x = 296,430.31

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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.