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Finding the Fourth Proportional to 342,606.50, 513,985.28 and 102,710.82

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Solution

The fourth proportional to 342,606.50, 513,985.28 and 102,710.82 is: 154,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,606.50 : 513,985.28 = 102,710.82 : x
  2. Step 2: Convert to fraction form
    342,606.50/513,985.28 = 102,710.82/x
  3. Step 3: Cross multiply
    342,606.50x = 513,985.28 × 102,710.82
  4. Step 4: Simplify right side
    342,606.50x = 52,791,849,063.18
  5. Step 5: Solve for x
    x = 52,791,849,063.18/342,606.50
  6. Step 6: Final answer
    x = 154,088.87

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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.