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Finding the Fourth Proportional to 287,097,715.20, 430,646,572.80 and 266,690,380.80

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Solution

The fourth proportional to 287,097,715.20, 430,646,572.80 and 266,690,380.80 is: 400,035,571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,097,715.20 : 430,646,572.80 = 266,690,380.80 : x
  2. Step 2: Convert to fraction form
    287,097,715.20/430,646,572.80 = 266,690,380.80/x
  3. Step 3: Cross multiply
    287,097,715.20x = 430,646,572.80 × 266,690,380.80
  4. Step 4: Simplify right side
    287,097,715.20x = 114,849,298,490,246,928
  5. Step 5: Solve for x
    x = 114,849,298,490,246,928/287,097,715.20
  6. Step 6: Final answer
    x = 400,035,571.20

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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.