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Finding the Fourth Proportional to 461,430.64, 692,141.60 and 145,887.52

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Solution

The fourth proportional to 461,430.64, 692,141.60 and 145,887.52 is: 218,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,430.64 : 692,141.60 = 145,887.52 : x
  2. Step 2: Convert to fraction form
    461,430.64/692,141.60 = 145,887.52/x
  3. Step 3: Cross multiply
    461,430.64x = 692,141.60 × 145,887.52
  4. Step 4: Simplify right side
    461,430.64x = 100,974,821,512.83
  5. Step 5: Solve for x
    x = 100,974,821,512.83/461,430.64
  6. Step 6: Final answer
    x = 218,829.90

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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.