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Finding the Fourth Proportional to 307,643.40, 461,465.10 and 187,374.60

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Solution

The fourth proportional to 307,643.40, 461,465.10 and 187,374.60 is: 281,061.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,643.40 : 461,465.10 = 187,374.60 : x
  2. Step 2: Convert to fraction form
    307,643.40/461,465.10 = 187,374.60/x
  3. Step 3: Cross multiply
    307,643.40x = 461,465.10 × 187,374.60
  4. Step 4: Simplify right side
    307,643.40x = 86,466,838,526.46
  5. Step 5: Solve for x
    x = 86,466,838,526.46/307,643.40
  6. Step 6: Final answer
    x = 281,061.90

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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.