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Finding the Fourth Proportional to 291,639.69, 402,462.81 and 157,503.69

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Solution

The fourth proportional to 291,639.69, 402,462.81 and 157,503.69 is: 217,355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,639.69 : 402,462.81 = 157,503.69 : x
  2. Step 2: Convert to fraction form
    291,639.69/402,462.81 = 157,503.69/x
  3. Step 3: Cross multiply
    291,639.69x = 402,462.81 × 157,503.69
  4. Step 4: Simplify right side
    291,639.69x = 63,389,377,662.77
  5. Step 5: Solve for x
    x = 63,389,377,662.77/291,639.69
  6. Step 6: Final answer
    x = 217,355.11

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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.