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Finding the Fourth Proportional to 291,913, 402,840.42 and 157,777

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Solution

The fourth proportional to 291,913, 402,840.42 and 157,777 is: 217,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,913 : 402,840.42 = 157,777 : x
  2. Step 2: Convert to fraction form
    291,913/402,840.42 = 157,777/x
  3. Step 3: Cross multiply
    291,913x = 402,840.42 × 157,777
  4. Step 4: Simplify right side
    291,913x = 63,558,952,946.34
  5. Step 5: Solve for x
    x = 63,558,952,946.34/291,913
  6. Step 6: Final answer
    x = 217,732.52

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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.