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Finding the Fourth Proportional to 256,836,001.60, 385,254,002.40 and 147,996,884.80

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Solution

The fourth proportional to 256,836,001.60, 385,254,002.40 and 147,996,884.80 is: 221,995,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,836,001.60 : 385,254,002.40 = 147,996,884.80 : x
  2. Step 2: Convert to fraction form
    256,836,001.60/385,254,002.40 = 147,996,884.80/x
  3. Step 3: Cross multiply
    256,836,001.60x = 385,254,002.40 × 147,996,884.80
  4. Step 4: Simplify right side
    256,836,001.60x = 57,016,392,211,931,728
  5. Step 5: Solve for x
    x = 57,016,392,211,931,728/256,836,001.60
  6. Step 6: Final answer
    x = 221,995,327.20

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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.