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Finding the Fourth Proportional to 292,493, 438,741.90 and 70,877

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Solution

The fourth proportional to 292,493, 438,741.90 and 70,877 is: 106,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,493 : 438,741.90 = 70,877 : x
  2. Step 2: Convert to fraction form
    292,493/438,741.90 = 70,877/x
  3. Step 3: Cross multiply
    292,493x = 438,741.90 × 70,877
  4. Step 4: Simplify right side
    292,493x = 31,096,709,646.30
  5. Step 5: Solve for x
    x = 31,096,709,646.30/292,493
  6. Step 6: Final answer
    x = 106,316.08

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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.