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Finding the Fourth Proportional to 565,509.12, 780,408.12 and 307,385.91

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Solution

The fourth proportional to 565,509.12, 780,408.12 and 307,385.91 is: 424,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,509.12 : 780,408.12 = 307,385.91 : x
  2. Step 2: Convert to fraction form
    565,509.12/780,408.12 = 307,385.91/x
  3. Step 3: Cross multiply
    565,509.12x = 780,408.12 × 307,385.91
  4. Step 4: Simplify right side
    565,509.12x = 239,886,460,137.59
  5. Step 5: Solve for x
    x = 239,886,460,137.59/565,509.12
  6. Step 6: Final answer
    x = 424,195.56

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1.5x scale

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.