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Finding the Fourth Proportional to 406,480.80, 610,412.40 and 301,418.40

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Solution

The fourth proportional to 406,480.80, 610,412.40 and 301,418.40 is: 452,640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,480.80 : 610,412.40 = 301,418.40 : x
  2. Step 2: Convert to fraction form
    406,480.80/610,412.40 = 301,418.40/x
  3. Step 3: Cross multiply
    406,480.80x = 610,412.40 × 301,418.40
  4. Step 4: Simplify right side
    406,480.80x = 183,989,528,948.16
  5. Step 5: Solve for x
    x = 183,989,528,948.16/406,480.80
  6. Step 6: Final answer
    x = 452,640.15

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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.