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Finding the Fourth Proportional to 429,840.90, 593,145.45 and 257,796.90

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Solution

The fourth proportional to 429,840.90, 593,145.45 and 257,796.90 is: 355,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,840.90 : 593,145.45 = 257,796.90 : x
  2. Step 2: Convert to fraction form
    429,840.90/593,145.45 = 257,796.90/x
  3. Step 3: Cross multiply
    429,840.90x = 593,145.45 × 257,796.90
  4. Step 4: Simplify right side
    429,840.90x = 152,911,058,259.11
  5. Step 5: Solve for x
    x = 152,911,058,259.11/429,840.90
  6. Step 6: Final answer
    x = 355,738.74

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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.