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Finding the Fourth Proportional to 561,093,965.72, 774,333,585.84 and 313,575,312.68

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Solution

The fourth proportional to 561,093,965.72, 774,333,585.84 and 313,575,312.68 is: 432,747,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,093,965.72 : 774,333,585.84 = 313,575,312.68 : x
  2. Step 2: Convert to fraction form
    561,093,965.72/774,333,585.84 = 313,575,312.68/x
  3. Step 3: Cross multiply
    561,093,965.72x = 774,333,585.84 × 313,575,312.68
  4. Step 4: Simplify right side
    561,093,965.72x = 242,811,896,298,403,648
  5. Step 5: Solve for x
    x = 242,811,896,298,403,648/561,093,965.72
  6. Step 6: Final answer
    x = 432,747,295.70

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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.