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Finding the Fourth Proportional to 642,404.73, 963,307.94 and 287,421.69

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Solution

The fourth proportional to 642,404.73, 963,307.94 and 287,421.69 is: 430,998.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,404.73 : 963,307.94 = 287,421.69 : x
  2. Step 2: Convert to fraction form
    642,404.73/963,307.94 = 287,421.69/x
  3. Step 3: Cross multiply
    642,404.73x = 963,307.94 × 287,421.69
  4. Step 4: Simplify right side
    642,404.73x = 276,875,594,668.11
  5. Step 5: Solve for x
    x = 276,875,594,668.11/642,404.73
  6. Step 6: Final answer
    x = 430,998.69

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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.