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Finding the Fourth Proportional to 280,482,901.60, 420,724,352.40 and 127,427,893.60

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Solution

The fourth proportional to 280,482,901.60, 420,724,352.40 and 127,427,893.60 is: 191,141,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,482,901.60 : 420,724,352.40 = 127,427,893.60 : x
  2. Step 2: Convert to fraction form
    280,482,901.60/420,724,352.40 = 127,427,893.60/x
  3. Step 3: Cross multiply
    280,482,901.60x = 420,724,352.40 × 127,427,893.60
  4. Step 4: Simplify right side
    280,482,901.60x = 53,612,018,012,556,096
  5. Step 5: Solve for x
    x = 53,612,018,012,556,096/280,482,901.60
  6. Step 6: Final answer
    x = 191,141,840.40

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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.