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Finding the Fourth Proportional to 292,410.96, 438,263.01 and 142,426.50

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Solution

The fourth proportional to 292,410.96, 438,263.01 and 142,426.50 is: 213,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,410.96 : 438,263.01 = 142,426.50 : x
  2. Step 2: Convert to fraction form
    292,410.96/438,263.01 = 142,426.50/x
  3. Step 3: Cross multiply
    292,410.96x = 438,263.01 × 142,426.50
  4. Step 4: Simplify right side
    292,410.96x = 62,420,266,593.77
  5. Step 5: Solve for x
    x = 62,420,266,593.77/292,410.96
  6. Step 6: Final answer
    x = 213,467.60

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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.