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Finding the Fourth Proportional to 653,688.78, 980,730.09 and 232,909.98

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Solution

The fourth proportional to 653,688.78, 980,730.09 and 232,909.98 is: 349,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,688.78 : 980,730.09 = 232,909.98 : x
  2. Step 2: Convert to fraction form
    653,688.78/980,730.09 = 232,909.98/x
  3. Step 3: Cross multiply
    653,688.78x = 980,730.09 × 232,909.98
  4. Step 4: Simplify right side
    653,688.78x = 228,421,825,647.30
  5. Step 5: Solve for x
    x = 228,421,825,647.30/653,688.78
  6. Step 6: Final answer
    x = 349,435.13

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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.