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Finding the Fourth Proportional to 661,698.80, 992,956.48 and 306,646.64

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Solution

The fourth proportional to 661,698.80, 992,956.48 and 306,646.64 is: 460,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,698.80 : 992,956.48 = 306,646.64 : x
  2. Step 2: Convert to fraction form
    661,698.80/992,956.48 = 306,646.64/x
  3. Step 3: Cross multiply
    661,698.80x = 992,956.48 × 306,646.64
  4. Step 4: Simplify right side
    661,698.80x = 304,486,768,258.23
  5. Step 5: Solve for x
    x = 304,486,768,258.23/661,698.80
  6. Step 6: Final answer
    x = 460,159.17

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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.