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Finding the Fourth Proportional to 509,055.82, 702,477.79 and 282,715.90

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Solution

The fourth proportional to 509,055.82, 702,477.79 and 282,715.90 is: 390,137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,055.82 : 702,477.79 = 282,715.90 : x
  2. Step 2: Convert to fraction form
    509,055.82/702,477.79 = 282,715.90/x
  3. Step 3: Cross multiply
    509,055.82x = 702,477.79 × 282,715.90
  4. Step 4: Simplify right side
    509,055.82x = 198,601,642,913.45
  5. Step 5: Solve for x
    x = 198,601,642,913.45/509,055.82
  6. Step 6: Final answer
    x = 390,137.26

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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.