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Finding the Fourth Proportional to 538,800,810.30, 808,201,215.45 and 409,660,647.30

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Solution

The fourth proportional to 538,800,810.30, 808,201,215.45 and 409,660,647.30 is: 614,490,970.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,800,810.30 : 808,201,215.45 = 409,660,647.30 : x
  2. Step 2: Convert to fraction form
    538,800,810.30/808,201,215.45 = 409,660,647.30/x
  3. Step 3: Cross multiply
    538,800,810.30x = 808,201,215.45 × 409,660,647.30
  4. Step 4: Simplify right side
    538,800,810.30x = 331,088,233,069,893,760
  5. Step 5: Solve for x
    x = 331,088,233,069,893,760/538,800,810.30
  6. Step 6: Final answer
    x = 614,490,970.95

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1.5x scale

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.