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Finding the Fourth Proportional to 291,709, 402,548.34 and 164,377

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Solution

The fourth proportional to 291,709, 402,548.34 and 164,377 is: 226,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,709 : 402,548.34 = 164,377 : x
  2. Step 2: Convert to fraction form
    291,709/402,548.34 = 164,377/x
  3. Step 3: Cross multiply
    291,709x = 402,548.34 × 164,377
  4. Step 4: Simplify right side
    291,709x = 66,169,688,484.18
  5. Step 5: Solve for x
    x = 66,169,688,484.18/291,709
  6. Step 6: Final answer
    x = 226,834.58

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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.