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Finding the Fourth Proportional to 407,007.51, 610,423.17 and 257,047.35

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Solution

The fourth proportional to 407,007.51, 610,423.17 and 257,047.35 is: 385,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,007.51 : 610,423.17 = 257,047.35 : x
  2. Step 2: Convert to fraction form
    407,007.51/610,423.17 = 257,047.35/x
  3. Step 3: Cross multiply
    407,007.51x = 610,423.17 × 257,047.35
  4. Step 4: Simplify right side
    407,007.51x = 156,907,658,227.10
  5. Step 5: Solve for x
    x = 156,907,658,227.10/407,007.51
  6. Step 6: Final answer
    x = 385,515.39

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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.