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Finding the Fourth Proportional to 562,409.38, 776,124.88 and 307,760.50

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Solution

The fourth proportional to 562,409.38, 776,124.88 and 307,760.50 is: 424,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,409.38 : 776,124.88 = 307,760.50 : x
  2. Step 2: Convert to fraction form
    562,409.38/776,124.88 = 307,760.50/x
  3. Step 3: Cross multiply
    562,409.38x = 776,124.88 × 307,760.50
  4. Step 4: Simplify right side
    562,409.38x = 238,860,581,131.24
  5. Step 5: Solve for x
    x = 238,860,581,131.24/562,409.38
  6. Step 6: Final answer
    x = 424,709.45

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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.