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Finding the Fourth Proportional to 821,347,128, 1,133,459,036.64 and 491,336,176.32

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Solution

The fourth proportional to 821,347,128, 1,133,459,036.64 and 491,336,176.32 is: 678,043,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,347,128 : 1,133,459,036.64 = 491,336,176.32 : x
  2. Step 2: Convert to fraction form
    821,347,128/1,133,459,036.64 = 491,336,176.32/x
  3. Step 3: Cross multiply
    821,347,128x = 1,133,459,036.64 × 491,336,176.32
  4. Step 4: Simplify right side
    821,347,128x = 556,909,429,078,048,448
  5. Step 5: Solve for x
    x = 556,909,429,078,048,448/821,347,128
  6. Step 6: Final answer
    x = 678,043,923.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.