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Finding the Fourth Proportional to 582,459,859, 803,789,299.31 and 318,141,781.98

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Solution

The fourth proportional to 582,459,859, 803,789,299.31 and 318,141,781.98 is: 439,032,760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,459,859 : 803,789,299.31 = 318,141,781.98 : x
  2. Step 2: Convert to fraction form
    582,459,859/803,789,299.31 = 318,141,781.98/x
  3. Step 3: Cross multiply
    582,459,859x = 803,789,299.31 × 318,141,781.98
  4. Step 4: Simplify right side
    582,459,859x = 255,718,960,018,938,976
  5. Step 5: Solve for x
    x = 255,718,960,018,938,976/582,459,859
  6. Step 6: Final answer
    x = 439,032,760.92

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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.