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Finding the Fourth Proportional to 509,058.82, 702,481.94 and 282,718.90

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Solution

The fourth proportional to 509,058.82, 702,481.94 and 282,718.90 is: 390,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,058.82 : 702,481.94 = 282,718.90 : x
  2. Step 2: Convert to fraction form
    509,058.82/702,481.94 = 282,718.90/x
  3. Step 3: Cross multiply
    509,058.82x = 702,481.94 × 282,718.90
  4. Step 4: Simplify right side
    509,058.82x = 198,604,921,346.67
  5. Step 5: Solve for x
    x = 198,604,921,346.67/509,058.82
  6. Step 6: Final answer
    x = 390,141.40

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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.