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Finding the Fourth Proportional to 256,953.60, 385,430.40 and 172,972.80

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Solution

The fourth proportional to 256,953.60, 385,430.40 and 172,972.80 is: 259,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,953.60 : 385,430.40 = 172,972.80 : x
  2. Step 2: Convert to fraction form
    256,953.60/385,430.40 = 172,972.80/x
  3. Step 3: Cross multiply
    256,953.60x = 385,430.40 × 172,972.80
  4. Step 4: Simplify right side
    256,953.60x = 66,668,975,493.12
  5. Step 5: Solve for x
    x = 66,668,975,493.12/256,953.60
  6. Step 6: Final answer
    x = 259,459.20

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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.