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Finding the Fourth Proportional to 517,967,999.70, 776,951,999.55 and 514,944,690.90

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Solution

The fourth proportional to 517,967,999.70, 776,951,999.55 and 514,944,690.90 is: 772,417,036.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,967,999.70 : 776,951,999.55 = 514,944,690.90 : x
  2. Step 2: Convert to fraction form
    517,967,999.70/776,951,999.55 = 514,944,690.90/x
  3. Step 3: Cross multiply
    517,967,999.70x = 776,951,999.55 × 514,944,690.90
  4. Step 4: Simplify right side
    517,967,999.70x = 400,087,307,252,411,648
  5. Step 5: Solve for x
    x = 400,087,307,252,411,648/517,967,999.70
  6. Step 6: Final answer
    x = 772,417,036.35

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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.