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Finding the Fourth Proportional to 565,584.72, 780,498.55 and 307,453.11

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Solution

The fourth proportional to 565,584.72, 780,498.55 and 307,453.11 is: 424,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,584.72 : 780,498.55 = 307,453.11 : x
  2. Step 2: Convert to fraction form
    565,584.72/780,498.55 = 307,453.11/x
  3. Step 3: Cross multiply
    565,584.72x = 780,498.55 × 307,453.11
  4. Step 4: Simplify right side
    565,584.72x = 239,966,701,108.23
  5. Step 5: Solve for x
    x = 239,966,701,108.23/565,584.72
  6. Step 6: Final answer
    x = 424,280.74

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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.