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Finding the Fourth Proportional to 291,766, 402,637.08 and 157,630

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Solution

The fourth proportional to 291,766, 402,637.08 and 157,630 is: 217,529.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,766 : 402,637.08 = 157,630 : x
  2. Step 2: Convert to fraction form
    291,766/402,637.08 = 157,630/x
  3. Step 3: Cross multiply
    291,766x = 402,637.08 × 157,630
  4. Step 4: Simplify right side
    291,766x = 63,467,682,920.40
  5. Step 5: Solve for x
    x = 63,467,682,920.40/291,766
  6. Step 6: Final answer
    x = 217,529.40

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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.