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Finding the Fourth Proportional to 509,385.72, 702,921.42 and 283,023.48

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Solution

The fourth proportional to 509,385.72, 702,921.42 and 283,023.48 is: 390,555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,385.72 : 702,921.42 = 283,023.48 : x
  2. Step 2: Convert to fraction form
    509,385.72/702,921.42 = 283,023.48/x
  3. Step 3: Cross multiply
    509,385.72x = 702,921.42 × 283,023.48
  4. Step 4: Simplify right side
    509,385.72x = 198,943,266,454.94
  5. Step 5: Solve for x
    x = 198,943,266,454.94/509,385.72
  6. Step 6: Final answer
    x = 390,555.25

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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.