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Finding the Fourth Proportional to 406,220.88, 560,646.72 and 253,284

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Solution

The fourth proportional to 406,220.88, 560,646.72 and 253,284 is: 349,570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,220.88 : 560,646.72 = 253,284 : x
  2. Step 2: Convert to fraction form
    406,220.88/560,646.72 = 253,284/x
  3. Step 3: Cross multiply
    406,220.88x = 560,646.72 × 253,284
  4. Step 4: Simplify right side
    406,220.88x = 142,002,843,828.48
  5. Step 5: Solve for x
    x = 142,002,843,828.48/406,220.88
  6. Step 6: Final answer
    x = 349,570.52

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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.