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Finding the Fourth Proportional to 509,008.96, 702,496.80 and 307,804.48

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Solution

The fourth proportional to 509,008.96, 702,496.80 and 307,804.48 is: 424,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,008.96 : 702,496.80 = 307,804.48 : x
  2. Step 2: Convert to fraction form
    509,008.96/702,496.80 = 307,804.48/x
  3. Step 3: Cross multiply
    509,008.96x = 702,496.80 × 307,804.48
  4. Step 4: Simplify right side
    509,008.96x = 216,231,662,225.66
  5. Step 5: Solve for x
    x = 216,231,662,225.66/509,008.96
  6. Step 6: Final answer
    x = 424,809.15

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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.