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Finding the Fourth Proportional to 459,338,424.90, 689,007,637.35 and 459,338,424.90

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Solution

The fourth proportional to 459,338,424.90, 689,007,637.35 and 459,338,424.90 is: 689,007,637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,338,424.90 : 689,007,637.35 = 459,338,424.90 : x
  2. Step 2: Convert to fraction form
    459,338,424.90/689,007,637.35 = 459,338,424.90/x
  3. Step 3: Cross multiply
    459,338,424.90x = 689,007,637.35 × 459,338,424.90
  4. Step 4: Simplify right side
    459,338,424.90x = 316,487,682,884,419,392
  5. Step 5: Solve for x
    x = 316,487,682,884,419,392/459,338,424.90
  6. Step 6: Final answer
    x = 689,007,637.35

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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.