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Finding the Fourth Proportional to 538,506,813.60, 807,760,220.40 and 446,673,808.80

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Solution

The fourth proportional to 538,506,813.60, 807,760,220.40 and 446,673,808.80 is: 670,010,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,506,813.60 : 807,760,220.40 = 446,673,808.80 : x
  2. Step 2: Convert to fraction form
    538,506,813.60/807,760,220.40 = 446,673,808.80/x
  3. Step 3: Cross multiply
    538,506,813.60x = 807,760,220.40 × 446,673,808.80
  4. Step 4: Simplify right side
    538,506,813.60x = 360,805,334,243,195,456
  5. Step 5: Solve for x
    x = 360,805,334,243,195,456/538,506,813.60
  6. Step 6: Final answer
    x = 670,010,713.20

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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.