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Finding the Fourth Proportional to 307,854.60, 461,830.50 and 130,362.72

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Solution

The fourth proportional to 307,854.60, 461,830.50 and 130,362.72 is: 195,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,854.60 : 461,830.50 = 130,362.72 : x
  2. Step 2: Convert to fraction form
    307,854.60/461,830.50 = 130,362.72/x
  3. Step 3: Cross multiply
    307,854.60x = 461,830.50 × 130,362.72
  4. Step 4: Simplify right side
    307,854.60x = 60,205,480,158.96
  5. Step 5: Solve for x
    x = 60,205,480,158.96/307,854.60
  6. Step 6: Final answer
    x = 195,564.66

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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.