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Finding the Fourth Proportional to 807,002.40, 1,210,406.40 and 333,638.40

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Solution

The fourth proportional to 807,002.40, 1,210,406.40 and 333,638.40 is: 500,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,002.40 : 1,210,406.40 = 333,638.40 : x
  2. Step 2: Convert to fraction form
    807,002.40/1,210,406.40 = 333,638.40/x
  3. Step 3: Cross multiply
    807,002.40x = 1,210,406.40 × 333,638.40
  4. Step 4: Simplify right side
    807,002.40x = 403,838,054,645.76
  5. Step 5: Solve for x
    x = 403,838,054,645.76/807,002.40
  6. Step 6: Final answer
    x = 500,417.41

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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.