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Finding the Fourth Proportional to 613,125.40, 919,688.10 and 424,168.60

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Solution

The fourth proportional to 613,125.40, 919,688.10 and 424,168.60 is: 636,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,125.40 : 919,688.10 = 424,168.60 : x
  2. Step 2: Convert to fraction form
    613,125.40/919,688.10 = 424,168.60/x
  3. Step 3: Cross multiply
    613,125.40x = 919,688.10 × 424,168.60
  4. Step 4: Simplify right side
    613,125.40x = 390,102,813,813.66
  5. Step 5: Solve for x
    x = 390,102,813,813.66/613,125.40
  6. Step 6: Final answer
    x = 636,252.90

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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.