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Finding the Fourth Proportional to 777,956.16, 1,073,564.64 and 438,417.60

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Solution

The fourth proportional to 777,956.16, 1,073,564.64 and 438,417.60 is: 605,007.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,956.16 : 1,073,564.64 = 438,417.60 : x
  2. Step 2: Convert to fraction form
    777,956.16/1,073,564.64 = 438,417.60/x
  3. Step 3: Cross multiply
    777,956.16x = 1,073,564.64 × 438,417.60
  4. Step 4: Simplify right side
    777,956.16x = 470,669,632,913.66
  5. Step 5: Solve for x
    x = 470,669,632,913.66/777,956.16
  6. Step 6: Final answer
    x = 605,007.91

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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.