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Finding the Fourth Proportional to 487,363,076.78, 731,047,103.49 and 164,249,748.14

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Solution

The fourth proportional to 487,363,076.78, 731,047,103.49 and 164,249,748.14 is: 246,375,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,363,076.78 : 731,047,103.49 = 164,249,748.14 : x
  2. Step 2: Convert to fraction form
    487,363,076.78/731,047,103.49 = 164,249,748.14/x
  3. Step 3: Cross multiply
    487,363,076.78x = 731,047,103.49 × 164,249,748.14
  4. Step 4: Simplify right side
    487,363,076.78x = 120,074,302,626,709,008
  5. Step 5: Solve for x
    x = 120,074,302,626,709,008/487,363,076.78
  6. Step 6: Final answer
    x = 246,375,460.82

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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.