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Finding the Fourth Proportional to 342,434.90, 472,750.19 and 206,503.28

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Solution

The fourth proportional to 342,434.90, 472,750.19 and 206,503.28 is: 285,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,434.90 : 472,750.19 = 206,503.28 : x
  2. Step 2: Convert to fraction form
    342,434.90/472,750.19 = 206,503.28/x
  3. Step 3: Cross multiply
    342,434.90x = 472,750.19 × 206,503.28
  4. Step 4: Simplify right side
    342,434.90x = 97,624,461,459.36
  5. Step 5: Solve for x
    x = 97,624,461,459.36/342,434.90
  6. Step 6: Final answer
    x = 285,089.12

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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.