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Finding the Fourth Proportional to 407,210.95, 610,920.17 and 287,501.10

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Solution

The fourth proportional to 407,210.95, 610,920.17 and 287,501.10 is: 431,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,210.95 : 610,920.17 = 287,501.10 : x
  2. Step 2: Convert to fraction form
    407,210.95/610,920.17 = 287,501.10/x
  3. Step 3: Cross multiply
    407,210.95x = 610,920.17 × 287,501.10
  4. Step 4: Simplify right side
    407,210.95x = 175,640,219,854.05
  5. Step 5: Solve for x
    x = 175,640,219,854.05/407,210.95
  6. Step 6: Final answer
    x = 431,324.90

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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.