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Finding the Fourth Proportional to 646,012,614.40, 969,018,921.60 and 596,128,019.20

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Solution

The fourth proportional to 646,012,614.40, 969,018,921.60 and 596,128,019.20 is: 894,192,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,012,614.40 : 969,018,921.60 = 596,128,019.20 : x
  2. Step 2: Convert to fraction form
    646,012,614.40/969,018,921.60 = 596,128,019.20/x
  3. Step 3: Cross multiply
    646,012,614.40x = 969,018,921.60 × 596,128,019.20
  4. Step 4: Simplify right side
    646,012,614.40x = 577,659,330,300,728,192
  5. Step 5: Solve for x
    x = 577,659,330,300,728,192/646,012,614.40
  6. Step 6: Final answer
    x = 894,192,028.80

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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.