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Finding the Fourth Proportional to 509,391.16, 702,945.90 and 283,030.84

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Solution

The fourth proportional to 509,391.16, 702,945.90 and 283,030.84 is: 390,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,391.16 : 702,945.90 = 283,030.84 : x
  2. Step 2: Convert to fraction form
    509,391.16/702,945.90 = 283,030.84/x
  3. Step 3: Cross multiply
    509,391.16x = 702,945.90 × 283,030.84
  4. Step 4: Simplify right side
    509,391.16x = 198,955,368,551.56
  5. Step 5: Solve for x
    x = 198,955,368,551.56/509,391.16
  6. Step 6: Final answer
    x = 390,574.84

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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.