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Finding the Fourth Proportional to 538,024.32, 742,447.62 and 296,317.08

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Solution

The fourth proportional to 538,024.32, 742,447.62 and 296,317.08 is: 408,903.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,024.32 : 742,447.62 = 296,317.08 : x
  2. Step 2: Convert to fraction form
    538,024.32/742,447.62 = 296,317.08/x
  3. Step 3: Cross multiply
    538,024.32x = 742,447.62 × 296,317.08
  4. Step 4: Simplify right side
    538,024.32x = 219,999,910,811.35
  5. Step 5: Solve for x
    x = 219,999,910,811.35/538,024.32
  6. Step 6: Final answer
    x = 408,903.28

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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.