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Finding the Fourth Proportional to 509,482.75, 702,345.19 and 356,044.56

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Solution

The fourth proportional to 509,482.75, 702,345.19 and 356,044.56 is: 490,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,482.75 : 702,345.19 = 356,044.56 : x
  2. Step 2: Convert to fraction form
    509,482.75/702,345.19 = 356,044.56/x
  3. Step 3: Cross multiply
    509,482.75x = 702,345.19 × 356,044.56
  4. Step 4: Simplify right side
    509,482.75x = 250,066,184,141.67
  5. Step 5: Solve for x
    x = 250,066,184,141.67/509,482.75
  6. Step 6: Final answer
    x = 490,823.65

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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.