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Finding the Fourth Proportional to 429,270, 592,054.57 and 380,264.03

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Solution

The fourth proportional to 429,270, 592,054.57 and 380,264.03 is: 524,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,270 : 592,054.57 = 380,264.03 : x
  2. Step 2: Convert to fraction form
    429,270/592,054.57 = 380,264.03/x
  3. Step 3: Cross multiply
    429,270x = 592,054.57 × 380,264.03
  4. Step 4: Simplify right side
    429,270x = 225,137,056,768.12
  5. Step 5: Solve for x
    x = 225,137,056,768.12/429,270
  6. Step 6: Final answer
    x = 524,464.92

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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.