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Finding the Fourth Proportional to 509,119.52, 702,574.80 and 282,757.28

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Solution

The fourth proportional to 509,119.52, 702,574.80 and 282,757.28 is: 390,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,119.52 : 702,574.80 = 282,757.28 : x
  2. Step 2: Convert to fraction form
    509,119.52/702,574.80 = 282,757.28/x
  3. Step 3: Cross multiply
    509,119.52x = 702,574.80 × 282,757.28
  4. Step 4: Simplify right side
    509,119.52x = 198,658,139,444.54
  5. Step 5: Solve for x
    x = 198,658,139,444.54/509,119.52
  6. Step 6: Final answer
    x = 390,199.42

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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.