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Finding the Fourth Proportional to 492,913.48, 680,394.90 and 291,709

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Solution

The fourth proportional to 492,913.48, 680,394.90 and 291,709 is: 402,661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,913.48 : 680,394.90 = 291,709 : x
  2. Step 2: Convert to fraction form
    492,913.48/680,394.90 = 291,709/x
  3. Step 3: Cross multiply
    492,913.48x = 680,394.90 × 291,709
  4. Step 4: Simplify right side
    492,913.48x = 198,477,315,884.10
  5. Step 5: Solve for x
    x = 198,477,315,884.10/492,913.48
  6. Step 6: Final answer
    x = 402,661.57

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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.