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Finding the Fourth Proportional to 461,430.80, 692,016.60 and 145,984.40

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Solution

The fourth proportional to 461,430.80, 692,016.60 and 145,984.40 is: 218,935.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,430.80 : 692,016.60 = 145,984.40 : x
  2. Step 2: Convert to fraction form
    461,430.80/692,016.60 = 145,984.40/x
  3. Step 3: Cross multiply
    461,430.80x = 692,016.60 × 145,984.40
  4. Step 4: Simplify right side
    461,430.80x = 101,023,628,141.04
  5. Step 5: Solve for x
    x = 101,023,628,141.04/461,430.80
  6. Step 6: Final answer
    x = 218,935.60

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1.5x scale

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.