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Finding the Fourth Proportional to 499,013.84, 748,547.64 and 199,539.92

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Solution

The fourth proportional to 499,013.84, 748,547.64 and 199,539.92 is: 299,320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,013.84 : 748,547.64 = 199,539.92 : x
  2. Step 2: Convert to fraction form
    499,013.84/748,547.64 = 199,539.92/x
  3. Step 3: Cross multiply
    499,013.84x = 748,547.64 × 199,539.92
  4. Step 4: Simplify right side
    499,013.84x = 149,365,136,201.79
  5. Step 5: Solve for x
    x = 149,365,136,201.79/499,013.84
  6. Step 6: Final answer
    x = 299,320.63

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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.