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Finding the Fourth Proportional to 656,200, 905,949.66 and 430,239.16

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Solution

The fourth proportional to 656,200, 905,949.66 and 430,239.16 is: 593,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,200 : 905,949.66 = 430,239.16 : x
  2. Step 2: Convert to fraction form
    656,200/905,949.66 = 430,239.16/x
  3. Step 3: Cross multiply
    656,200x = 905,949.66 × 430,239.16
  4. Step 4: Simplify right side
    656,200x = 389,775,020,720.69
  5. Step 5: Solve for x
    x = 389,775,020,720.69/656,200
  6. Step 6: Final answer
    x = 593,988.14

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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.