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Finding the Fourth Proportional to 456,323.52, 685,106.28 and 256,784.88

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Solution

The fourth proportional to 456,323.52, 685,106.28 and 256,784.88 is: 385,526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,323.52 : 685,106.28 = 256,784.88 : x
  2. Step 2: Convert to fraction form
    456,323.52/685,106.28 = 256,784.88/x
  3. Step 3: Cross multiply
    456,323.52x = 685,106.28 × 256,784.88
  4. Step 4: Simplify right side
    456,323.52x = 175,924,933,897.05
  5. Step 5: Solve for x
    x = 175,924,933,897.05/456,323.52
  6. Step 6: Final answer
    x = 385,526.77

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1.5x scale

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.