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Finding the Fourth Proportional to 815,971, 1,126,145.58 and 458,275

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Solution

The fourth proportional to 815,971, 1,126,145.58 and 458,275 is: 632,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,971 : 1,126,145.58 = 458,275 : x
  2. Step 2: Convert to fraction form
    815,971/1,126,145.58 = 458,275/x
  3. Step 3: Cross multiply
    815,971x = 1,126,145.58 × 458,275
  4. Step 4: Simplify right side
    815,971x = 516,084,365,674.50
  5. Step 5: Solve for x
    x = 516,084,365,674.50/815,971
  6. Step 6: Final answer
    x = 632,478.81

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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.