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Finding the Fourth Proportional to 706,825.64, 975,346.56 and 420,290.36

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Solution

The fourth proportional to 706,825.64, 975,346.56 and 420,290.36 is: 579,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,825.64 : 975,346.56 = 420,290.36 : x
  2. Step 2: Convert to fraction form
    706,825.64/975,346.56 = 420,290.36/x
  3. Step 3: Cross multiply
    706,825.64x = 975,346.56 × 420,290.36
  4. Step 4: Simplify right side
    706,825.64x = 409,928,756,827.16
  5. Step 5: Solve for x
    x = 409,928,756,827.16/706,825.64
  6. Step 6: Final answer
    x = 579,957.39

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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.