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Finding the Fourth Proportional to 642,404.54, 963,307.65 and 287,421.50

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Solution

The fourth proportional to 642,404.54, 963,307.65 and 287,421.50 is: 430,998.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,404.54 : 963,307.65 = 287,421.50 : x
  2. Step 2: Convert to fraction form
    642,404.54/963,307.65 = 287,421.50/x
  3. Step 3: Cross multiply
    642,404.54x = 963,307.65 × 287,421.50
  4. Step 4: Simplify right side
    642,404.54x = 276,875,333,210.58
  5. Step 5: Solve for x
    x = 276,875,333,210.58/642,404.54
  6. Step 6: Final answer
    x = 430,998.41

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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.