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Finding the Fourth Proportional to 507,364.30, 699,897.29 and 313,710.11

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Solution

The fourth proportional to 507,364.30, 699,897.29 and 313,710.11 is: 432,755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,364.30 : 699,897.29 = 313,710.11 : x
  2. Step 2: Convert to fraction form
    507,364.30/699,897.29 = 313,710.11/x
  3. Step 3: Cross multiply
    507,364.30x = 699,897.29 × 313,710.11
  4. Step 4: Simplify right side
    507,364.30x = 219,564,850,766.57
  5. Step 5: Solve for x
    x = 219,564,850,766.57/507,364.30
  6. Step 6: Final answer
    x = 432,755.82

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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.