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Finding the Fourth Proportional to 565,572.80, 780,505.50 and 307,467.20

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Solution

The fourth proportional to 565,572.80, 780,505.50 and 307,467.20 is: 424,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,572.80 : 780,505.50 = 307,467.20 : x
  2. Step 2: Convert to fraction form
    565,572.80/780,505.50 = 307,467.20/x
  3. Step 3: Cross multiply
    565,572.80x = 780,505.50 × 307,467.20
  4. Step 4: Simplify right side
    565,572.80x = 239,979,840,669.60
  5. Step 5: Solve for x
    x = 239,979,840,669.60/565,572.80
  6. Step 6: Final answer
    x = 424,312.91

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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.