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Finding the Fourth Proportional to 538,521.36, 743,159.52 and 312,298.08

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Solution

The fourth proportional to 538,521.36, 743,159.52 and 312,298.08 is: 430,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,521.36 : 743,159.52 = 312,298.08 : x
  2. Step 2: Convert to fraction form
    538,521.36/743,159.52 = 312,298.08/x
  3. Step 3: Cross multiply
    538,521.36x = 743,159.52 × 312,298.08
  4. Step 4: Simplify right side
    538,521.36x = 232,087,291,229.72
  5. Step 5: Solve for x
    x = 232,087,291,229.72/538,521.36
  6. Step 6: Final answer
    x = 430,971.38

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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.