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Finding the Fourth Proportional to 430,016.40, 645,713.10 and 342,001.80

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Solution

The fourth proportional to 430,016.40, 645,713.10 and 342,001.80 is: 513,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,016.40 : 645,713.10 = 342,001.80 : x
  2. Step 2: Convert to fraction form
    430,016.40/645,713.10 = 342,001.80/x
  3. Step 3: Cross multiply
    430,016.40x = 645,713.10 × 342,001.80
  4. Step 4: Simplify right side
    430,016.40x = 220,835,042,483.58
  5. Step 5: Solve for x
    x = 220,835,042,483.58/430,016.40
  6. Step 6: Final answer
    x = 513,550.28

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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.