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Finding the Fourth Proportional to 429,218.40, 643,276.80 and 239,678.40

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Solution

The fourth proportional to 429,218.40, 643,276.80 and 239,678.40 is: 359,210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,218.40 : 643,276.80 = 239,678.40 : x
  2. Step 2: Convert to fraction form
    429,218.40/643,276.80 = 239,678.40/x
  3. Step 3: Cross multiply
    429,218.40x = 643,276.80 × 239,678.40
  4. Step 4: Simplify right side
    429,218.40x = 154,179,554,181.12
  5. Step 5: Solve for x
    x = 154,179,554,181.12/429,218.40
  6. Step 6: Final answer
    x = 359,210.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.