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Finding the Fourth Proportional to 650,021.18, 974,884.14 and 312,889.66

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Solution

The fourth proportional to 650,021.18, 974,884.14 and 312,889.66 is: 469,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,021.18 : 974,884.14 = 312,889.66 : x
  2. Step 2: Convert to fraction form
    650,021.18/974,884.14 = 312,889.66/x
  3. Step 3: Cross multiply
    650,021.18x = 974,884.14 × 312,889.66
  4. Step 4: Simplify right side
    650,021.18x = 305,031,164,666.78
  5. Step 5: Solve for x
    x = 305,031,164,666.78/650,021.18
  6. Step 6: Final answer
    x = 469,263.43

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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.