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Finding the Fourth Proportional to 509,483.25, 702,345.88 and 356,045.06

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Solution

The fourth proportional to 509,483.25, 702,345.88 and 356,045.06 is: 490,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,483.25 : 702,345.88 = 356,045.06 : x
  2. Step 2: Convert to fraction form
    509,483.25/702,345.88 = 356,045.06/x
  3. Step 3: Cross multiply
    509,483.25x = 702,345.88 × 356,045.06
  4. Step 4: Simplify right side
    509,483.25x = 250,066,780,985.35
  5. Step 5: Solve for x
    x = 250,066,780,985.35/509,483.25
  6. Step 6: Final answer
    x = 490,824.34

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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.