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Finding the Fourth Proportional to 707,121.94, 975,809.56 and 384,825.10

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Solution

The fourth proportional to 707,121.94, 975,809.56 and 384,825.10 is: 531,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,121.94 : 975,809.56 = 384,825.10 : x
  2. Step 2: Convert to fraction form
    707,121.94/975,809.56 = 384,825.10/x
  3. Step 3: Cross multiply
    707,121.94x = 975,809.56 × 384,825.10
  4. Step 4: Simplify right side
    707,121.94x = 375,516,011,507.96
  5. Step 5: Solve for x
    x = 375,516,011,507.96/707,121.94
  6. Step 6: Final answer
    x = 531,048.45

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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.