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Finding the Fourth Proportional to 668,697.36, 1,003,302 and 402,648

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Solution

The fourth proportional to 668,697.36, 1,003,302 and 402,648 is: 604,126.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,697.36 : 1,003,302 = 402,648 : x
  2. Step 2: Convert to fraction form
    668,697.36/1,003,302 = 402,648/x
  3. Step 3: Cross multiply
    668,697.36x = 1,003,302 × 402,648
  4. Step 4: Simplify right side
    668,697.36x = 403,977,543,696
  5. Step 5: Solve for x
    x = 403,977,543,696/668,697.36
  6. Step 6: Final answer
    x = 604,126.12

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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.