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Finding the Fourth Proportional to 509,220.30, 702,431.67 and 317,901.54

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Solution

The fourth proportional to 509,220.30, 702,431.67 and 317,901.54 is: 438,521.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,220.30 : 702,431.67 = 317,901.54 : x
  2. Step 2: Convert to fraction form
    509,220.30/702,431.67 = 317,901.54/x
  3. Step 3: Cross multiply
    509,220.30x = 702,431.67 × 317,901.54
  4. Step 4: Simplify right side
    509,220.30x = 223,304,109,637.77
  5. Step 5: Solve for x
    x = 223,304,109,637.77/509,220.30
  6. Step 6: Final answer
    x = 438,521.62

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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.