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Finding the Fourth Proportional to 456,117.92, 628,780.56 and 319,726.88

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Solution

The fourth proportional to 456,117.92, 628,780.56 and 319,726.88 is: 440,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,117.92 : 628,780.56 = 319,726.88 : x
  2. Step 2: Convert to fraction form
    456,117.92/628,780.56 = 319,726.88/x
  3. Step 3: Cross multiply
    456,117.92x = 628,780.56 × 319,726.88
  4. Step 4: Simplify right side
    456,117.92x = 201,038,046,653.45
  5. Step 5: Solve for x
    x = 201,038,046,653.45/456,117.92
  6. Step 6: Final answer
    x = 440,758.93

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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.