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Finding the Fourth Proportional to 509,088.93, 702,544.38 and 282,734.43

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Solution

The fourth proportional to 509,088.93, 702,544.38 and 282,734.43 is: 390,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,088.93 : 702,544.38 = 282,734.43 : x
  2. Step 2: Convert to fraction form
    509,088.93/702,544.38 = 282,734.43/x
  3. Step 3: Cross multiply
    509,088.93x = 702,544.38 × 282,734.43
  4. Step 4: Simplify right side
    509,088.93x = 198,633,484,829.00
  5. Step 5: Solve for x
    x = 198,633,484,829.00/509,088.93
  6. Step 6: Final answer
    x = 390,174.43

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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.