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Finding the Fourth Proportional to 299,931.32, 449,806.16 and 157,699.98

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Solution

The fourth proportional to 299,931.32, 449,806.16 and 157,699.98 is: 236,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,931.32 : 449,806.16 = 157,699.98 : x
  2. Step 2: Convert to fraction form
    299,931.32/449,806.16 = 157,699.98/x
  3. Step 3: Cross multiply
    299,931.32x = 449,806.16 × 157,699.98
  4. Step 4: Simplify right side
    299,931.32x = 70,934,422,830.13
  5. Step 5: Solve for x
    x = 70,934,422,830.13/299,931.32
  6. Step 6: Final answer
    x = 236,502.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.