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Finding the Fourth Proportional to 465,240.51, 642,275.73 and 313,078.77

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Solution

The fourth proportional to 465,240.51, 642,275.73 and 313,078.77 is: 432,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,240.51 : 642,275.73 = 313,078.77 : x
  2. Step 2: Convert to fraction form
    465,240.51/642,275.73 = 313,078.77/x
  3. Step 3: Cross multiply
    465,240.51x = 642,275.73 × 313,078.77
  4. Step 4: Simplify right side
    465,240.51x = 201,082,895,549.25
  5. Step 5: Solve for x
    x = 201,082,895,549.25/465,240.51
  6. Step 6: Final answer
    x = 432,212.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.