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Finding the Fourth Proportional to 501,870.96, 692,350.92 and 320,492.04

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Solution

The fourth proportional to 501,870.96, 692,350.92 and 320,492.04 is: 442,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,870.96 : 692,350.92 = 320,492.04 : x
  2. Step 2: Convert to fraction form
    501,870.96/692,350.92 = 320,492.04/x
  3. Step 3: Cross multiply
    501,870.96x = 692,350.92 × 320,492.04
  4. Step 4: Simplify right side
    501,870.96x = 221,892,958,746.68
  5. Step 5: Solve for x
    x = 221,892,958,746.68/501,870.96
  6. Step 6: Final answer
    x = 442,131.50

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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.