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Finding the Fourth Proportional to 258,584,807.80, 387,877,211.70 and 161,649,969.40

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Solution

The fourth proportional to 258,584,807.80, 387,877,211.70 and 161,649,969.40 is: 242,474,954.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,584,807.80 : 387,877,211.70 = 161,649,969.40 : x
  2. Step 2: Convert to fraction form
    258,584,807.80/387,877,211.70 = 161,649,969.40/x
  3. Step 3: Cross multiply
    258,584,807.80x = 387,877,211.70 × 161,649,969.40
  4. Step 4: Simplify right side
    258,584,807.80x = 62,700,339,402,262,320
  5. Step 5: Solve for x
    x = 62,700,339,402,262,320/258,584,807.80
  6. Step 6: Final answer
    x = 242,474,954.10

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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.