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Finding the Fourth Proportional to 280,608,014.40, 420,513,890.40 and 207,252,340.80

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Solution

The fourth proportional to 280,608,014.40, 420,513,890.40 and 207,252,340.80 is: 310,584,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,608,014.40 : 420,513,890.40 = 207,252,340.80 : x
  2. Step 2: Convert to fraction form
    280,608,014.40/420,513,890.40 = 207,252,340.80/x
  3. Step 3: Cross multiply
    280,608,014.40x = 420,513,890.40 × 207,252,340.80
  4. Step 4: Simplify right side
    280,608,014.40x = 87,152,488,124,314,656
  5. Step 5: Solve for x
    x = 87,152,488,124,314,656/280,608,014.40
  6. Step 6: Final answer
    x = 310,584,458.22

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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.