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Finding the Fourth Proportional to 338,016, 507,031.20 and 127,752.96

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Solution

The fourth proportional to 338,016, 507,031.20 and 127,752.96 is: 191,632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,016 : 507,031.20 = 127,752.96 : x
  2. Step 2: Convert to fraction form
    338,016/507,031.20 = 127,752.96/x
  3. Step 3: Cross multiply
    338,016x = 507,031.20 × 127,752.96
  4. Step 4: Simplify right side
    338,016x = 64,774,736,612.35
  5. Step 5: Solve for x
    x = 64,774,736,612.35/338,016
  6. Step 6: Final answer
    x = 191,632.16

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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.