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Finding the Fourth Proportional to 882,517,757.68, 1,217,835,203.80 and 505,904,352.40

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Solution

The fourth proportional to 882,517,757.68, 1,217,835,203.80 and 505,904,352.40 is: 698,125,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,517,757.68 : 1,217,835,203.80 = 505,904,352.40 : x
  2. Step 2: Convert to fraction form
    882,517,757.68/1,217,835,203.80 = 505,904,352.40/x
  3. Step 3: Cross multiply
    882,517,757.68x = 1,217,835,203.80 × 505,904,352.40
  4. Step 4: Simplify right side
    882,517,757.68x = 616,108,130,108,360,960
  5. Step 5: Solve for x
    x = 616,108,130,108,360,960/882,517,757.68
  6. Step 6: Final answer
    x = 698,125,476.51

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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.