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Finding the Fourth Proportional to 604,113.40, 908,138.40 and 427,841.20

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Solution

The fourth proportional to 604,113.40, 908,138.40 and 427,841.20 is: 643,155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,113.40 : 908,138.40 = 427,841.20 : x
  2. Step 2: Convert to fraction form
    604,113.40/908,138.40 = 427,841.20/x
  3. Step 3: Cross multiply
    604,113.40x = 908,138.40 × 427,841.20
  4. Step 4: Simplify right side
    604,113.40x = 388,539,022,822.08
  5. Step 5: Solve for x
    x = 388,539,022,822.08/604,113.40
  6. Step 6: Final answer
    x = 643,155.78

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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.