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Finding the Fourth Proportional to 584,031.75, 805,965.03 and 315,759.75

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Solution

The fourth proportional to 584,031.75, 805,965.03 and 315,759.75 is: 435,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,031.75 : 805,965.03 = 315,759.75 : x
  2. Step 2: Convert to fraction form
    584,031.75/805,965.03 = 315,759.75/x
  3. Step 3: Cross multiply
    584,031.75x = 805,965.03 × 315,759.75
  4. Step 4: Simplify right side
    584,031.75x = 254,491,316,381.54
  5. Step 5: Solve for x
    x = 254,491,316,381.54/584,031.75
  6. Step 6: Final answer
    x = 435,749.11

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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.