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Finding the Fourth Proportional to 470,010.80, 703,979.40 and 282,695.60

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Solution

The fourth proportional to 470,010.80, 703,979.40 and 282,695.60 is: 423,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,010.80 : 703,979.40 = 282,695.60 : x
  2. Step 2: Convert to fraction form
    470,010.80/703,979.40 = 282,695.60/x
  3. Step 3: Cross multiply
    470,010.80x = 703,979.40 × 282,695.60
  4. Step 4: Simplify right side
    470,010.80x = 199,011,878,870.64
  5. Step 5: Solve for x
    x = 199,011,878,870.64/470,010.80
  6. Step 6: Final answer
    x = 423,419.80

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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.