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Finding the Fourth Proportional to 310,032,685.80, 465,049,028.70 and 137,845,801.80

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Solution

The fourth proportional to 310,032,685.80, 465,049,028.70 and 137,845,801.80 is: 206,768,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,032,685.80 : 465,049,028.70 = 137,845,801.80 : x
  2. Step 2: Convert to fraction form
    310,032,685.80/465,049,028.70 = 137,845,801.80/x
  3. Step 3: Cross multiply
    310,032,685.80x = 465,049,028.70 × 137,845,801.80
  4. Step 4: Simplify right side
    310,032,685.80x = 64,105,056,237,462,712
  5. Step 5: Solve for x
    x = 64,105,056,237,462,712/310,032,685.80
  6. Step 6: Final answer
    x = 206,768,702.70

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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.