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Finding the Fourth Proportional to 647,193,036.76, 893,126,005.35 and 349,835,282.88

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Solution

The fourth proportional to 647,193,036.76, 893,126,005.35 and 349,835,282.88 is: 482,772,482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,193,036.76 : 893,126,005.35 = 349,835,282.88 : x
  2. Step 2: Convert to fraction form
    647,193,036.76/893,126,005.35 = 349,835,282.88/x
  3. Step 3: Cross multiply
    647,193,036.76x = 893,126,005.35 × 349,835,282.88
  4. Step 4: Simplify right side
    647,193,036.76x = 312,446,988,724,440,576
  5. Step 5: Solve for x
    x = 312,446,988,724,440,576/647,193,036.76
  6. Step 6: Final answer
    x = 482,772,482.06

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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.