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Finding the Fourth Proportional to 345,031.60, 517,547.40 and 261,050.80

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Solution

The fourth proportional to 345,031.60, 517,547.40 and 261,050.80 is: 391,576.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,031.60 : 517,547.40 = 261,050.80 : x
  2. Step 2: Convert to fraction form
    345,031.60/517,547.40 = 261,050.80/x
  3. Step 3: Cross multiply
    345,031.60x = 517,547.40 × 261,050.80
  4. Step 4: Simplify right side
    345,031.60x = 135,106,162,807.92
  5. Step 5: Solve for x
    x = 135,106,162,807.92/345,031.60
  6. Step 6: Final answer
    x = 391,576.20

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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.