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Finding the Fourth Proportional to 539,480, 744,482.40 and 301,016

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Solution

The fourth proportional to 539,480, 744,482.40 and 301,016 is: 415,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,480 : 744,482.40 = 301,016 : x
  2. Step 2: Convert to fraction form
    539,480/744,482.40 = 301,016/x
  3. Step 3: Cross multiply
    539,480x = 744,482.40 × 301,016
  4. Step 4: Simplify right side
    539,480x = 224,101,114,118.40
  5. Step 5: Solve for x
    x = 224,101,114,118.40/539,480
  6. Step 6: Final answer
    x = 415,402.08

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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.