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Finding the Fourth Proportional to 507,364.10, 700,173.76 and 289,568.40

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Solution

The fourth proportional to 507,364.10, 700,173.76 and 289,568.40 is: 399,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,364.10 : 700,173.76 = 289,568.40 : x
  2. Step 2: Convert to fraction form
    507,364.10/700,173.76 = 289,568.40/x
  3. Step 3: Cross multiply
    507,364.10x = 700,173.76 × 289,568.40
  4. Step 4: Simplify right side
    507,364.10x = 202,748,190,456.47
  5. Step 5: Solve for x
    x = 202,748,190,456.47/507,364.10
  6. Step 6: Final answer
    x = 399,610.84

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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.