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Finding the Fourth Proportional to 420,068.61, 579,739.64 and 256,820.91

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Solution

The fourth proportional to 420,068.61, 579,739.64 and 256,820.91 is: 354,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,068.61 : 579,739.64 = 256,820.91 : x
  2. Step 2: Convert to fraction form
    420,068.61/579,739.64 = 256,820.91/x
  3. Step 3: Cross multiply
    420,068.61x = 579,739.64 × 256,820.91
  4. Step 4: Simplify right side
    420,068.61x = 148,889,261,907.87
  5. Step 5: Solve for x
    x = 148,889,261,907.87/420,068.61
  6. Step 6: Final answer
    x = 354,440.34

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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.