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Finding the Fourth Proportional to 471,878.80, 706,651.80 and 313,248.40

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Solution

The fourth proportional to 471,878.80, 706,651.80 and 313,248.40 is: 469,098.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,878.80 : 706,651.80 = 313,248.40 : x
  2. Step 2: Convert to fraction form
    471,878.80/706,651.80 = 313,248.40/x
  3. Step 3: Cross multiply
    471,878.80x = 706,651.80 × 313,248.40
  4. Step 4: Simplify right side
    471,878.80x = 221,357,545,707.12
  5. Step 5: Solve for x
    x = 221,357,545,707.12/471,878.80
  6. Step 6: Final answer
    x = 469,098.31

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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.