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Finding the Fourth Proportional to 509,262.72, 702,519.02 and 345,927.64

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Solution

The fourth proportional to 509,262.72, 702,519.02 and 345,927.64 is: 477,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,262.72 : 702,519.02 = 345,927.64 : x
  2. Step 2: Convert to fraction form
    509,262.72/702,519.02 = 345,927.64/x
  3. Step 3: Cross multiply
    509,262.72x = 702,519.02 × 345,927.64
  4. Step 4: Simplify right side
    509,262.72x = 243,020,746,643.71
  5. Step 5: Solve for x
    x = 243,020,746,643.71/509,262.72
  6. Step 6: Final answer
    x = 477,201.13

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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.