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Finding the Fourth Proportional to 380,356.13, 570,320.75 and 260,548.49

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Solution

The fourth proportional to 380,356.13, 570,320.75 and 260,548.49 is: 390,676.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,356.13 : 570,320.75 = 260,548.49 : x
  2. Step 2: Convert to fraction form
    380,356.13/570,320.75 = 260,548.49/x
  3. Step 3: Cross multiply
    380,356.13x = 570,320.75 × 260,548.49
  4. Step 4: Simplify right side
    380,356.13x = 148,596,208,027.94
  5. Step 5: Solve for x
    x = 148,596,208,027.94/380,356.13
  6. Step 6: Final answer
    x = 390,676.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.