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Finding the Fourth Proportional to 487,339,548.80, 731,009,323.20 and 487,339,548.80

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Solution

The fourth proportional to 487,339,548.80, 731,009,323.20 and 487,339,548.80 is: 731,009,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,339,548.80 : 731,009,323.20 = 487,339,548.80 : x
  2. Step 2: Convert to fraction form
    487,339,548.80/731,009,323.20 = 487,339,548.80/x
  3. Step 3: Cross multiply
    487,339,548.80x = 731,009,323.20 × 487,339,548.80
  4. Step 4: Simplify right side
    487,339,548.80x = 356,249,753,736,881,408
  5. Step 5: Solve for x
    x = 356,249,753,736,881,408/487,339,548.80
  6. Step 6: Final answer
    x = 731,009,323.20

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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.