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Finding the Fourth Proportional to 565,415.86, 780,279.92 and 307,292.82

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Solution

The fourth proportional to 565,415.86, 780,279.92 and 307,292.82 is: 424,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,415.86 : 780,279.92 = 307,292.82 : x
  2. Step 2: Convert to fraction form
    565,415.86/780,279.92 = 307,292.82/x
  3. Step 3: Cross multiply
    565,415.86x = 780,279.92 × 307,292.82
  4. Step 4: Simplify right side
    565,415.86x = 239,774,417,006.17
  5. Step 5: Solve for x
    x = 239,774,417,006.17/565,415.86
  6. Step 6: Final answer
    x = 424,067.37

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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.