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Finding the Fourth Proportional to 345,964, 477,430.32 and 186,988

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Solution

The fourth proportional to 345,964, 477,430.32 and 186,988 is: 258,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,964 : 477,430.32 = 186,988 : x
  2. Step 2: Convert to fraction form
    345,964/477,430.32 = 186,988/x
  3. Step 3: Cross multiply
    345,964x = 477,430.32 × 186,988
  4. Step 4: Simplify right side
    345,964x = 89,273,740,676.16
  5. Step 5: Solve for x
    x = 89,273,740,676.16/345,964
  6. Step 6: Final answer
    x = 258,043.44

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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.