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Finding the Fourth Proportional to 307,461.74, 461,281.91 and 127,514.16

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Solution

The fourth proportional to 307,461.74, 461,281.91 and 127,514.16 is: 191,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,461.74 : 461,281.91 = 127,514.16 : x
  2. Step 2: Convert to fraction form
    307,461.74/461,281.91 = 127,514.16/x
  3. Step 3: Cross multiply
    307,461.74x = 461,281.91 × 127,514.16
  4. Step 4: Simplify right side
    307,461.74x = 58,819,974,639.27
  5. Step 5: Solve for x
    x = 58,819,974,639.27/307,461.74
  6. Step 6: Final answer
    x = 191,308.28

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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.