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Finding the Fourth Proportional to 319,688,857.20, 448,017,896.40 and 319,688,857.20

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Solution

The fourth proportional to 319,688,857.20, 448,017,896.40 and 319,688,857.20 is: 448,017,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,688,857.20 : 448,017,896.40 = 319,688,857.20 : x
  2. Step 2: Convert to fraction form
    319,688,857.20/448,017,896.40 = 319,688,857.20/x
  3. Step 3: Cross multiply
    319,688,857.20x = 448,017,896.40 × 319,688,857.20
  4. Step 4: Simplify right side
    319,688,857.20x = 143,226,329,305,263,984
  5. Step 5: Solve for x
    x = 143,226,329,305,263,984/319,688,857.20
  6. Step 6: Final answer
    x = 448,017,896.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.