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Finding the Fourth Proportional to 387,909.69, 535,301.85 and 213,463.59

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Solution

The fourth proportional to 387,909.69, 535,301.85 and 213,463.59 is: 294,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,909.69 : 535,301.85 = 213,463.59 : x
  2. Step 2: Convert to fraction form
    387,909.69/535,301.85 = 213,463.59/x
  3. Step 3: Cross multiply
    387,909.69x = 535,301.85 × 213,463.59
  4. Step 4: Simplify right side
    387,909.69x = 114,267,456,438.82
  5. Step 5: Solve for x
    x = 114,267,456,438.82/387,909.69
  6. Step 6: Final answer
    x = 294,572.32

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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.