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Finding the Fourth Proportional to 431,615.40, 647,423.10 and 282,316.20

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Solution

The fourth proportional to 431,615.40, 647,423.10 and 282,316.20 is: 423,474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,615.40 : 647,423.10 = 282,316.20 : x
  2. Step 2: Convert to fraction form
    431,615.40/647,423.10 = 282,316.20/x
  3. Step 3: Cross multiply
    431,615.40x = 647,423.10 × 282,316.20
  4. Step 4: Simplify right side
    431,615.40x = 182,778,029,384.22
  5. Step 5: Solve for x
    x = 182,778,029,384.22/431,615.40
  6. Step 6: Final answer
    x = 423,474.30

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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.