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Finding the Fourth Proportional to 456,476.64, 629,864.28 and 286,940.40

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Solution

The fourth proportional to 456,476.64, 629,864.28 and 286,940.40 is: 395,931.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,476.64 : 629,864.28 = 286,940.40 : x
  2. Step 2: Convert to fraction form
    456,476.64/629,864.28 = 286,940.40/x
  3. Step 3: Cross multiply
    456,476.64x = 629,864.28 × 286,940.40
  4. Step 4: Simplify right side
    456,476.64x = 180,733,508,448.91
  5. Step 5: Solve for x
    x = 180,733,508,448.91/456,476.64
  6. Step 6: Final answer
    x = 395,931.56

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1.5x scale

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.