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Finding the Fourth Proportional to 426,714.98, 640,387.46 and 202,075.05

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Solution

The fourth proportional to 426,714.98, 640,387.46 and 202,075.05 is: 303,261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,714.98 : 640,387.46 = 202,075.05 : x
  2. Step 2: Convert to fraction form
    426,714.98/640,387.46 = 202,075.05/x
  3. Step 3: Cross multiply
    426,714.98x = 640,387.46 × 202,075.05
  4. Step 4: Simplify right side
    426,714.98x = 129,406,326,988.50
  5. Step 5: Solve for x
    x = 129,406,326,988.50/426,714.98
  6. Step 6: Final answer
    x = 303,261.74

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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.