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Finding the Fourth Proportional to 538,129.12, 742,194.32 and 334,064.80

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Solution

The fourth proportional to 538,129.12, 742,194.32 and 334,064.80 is: 460,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,129.12 : 742,194.32 = 334,064.80 : x
  2. Step 2: Convert to fraction form
    538,129.12/742,194.32 = 334,064.80/x
  3. Step 3: Cross multiply
    538,129.12x = 742,194.32 × 334,064.80
  4. Step 4: Simplify right side
    538,129.12x = 247,940,997,071.94
  5. Step 5: Solve for x
    x = 247,940,997,071.94/538,129.12
  6. Step 6: Final answer
    x = 460,746.29

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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.