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Finding the Fourth Proportional to 287,742,404.40, 431,613,606.60 and 254,486,007.60

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Solution

The fourth proportional to 287,742,404.40, 431,613,606.60 and 254,486,007.60 is: 381,729,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,742,404.40 : 431,613,606.60 = 254,486,007.60 : x
  2. Step 2: Convert to fraction form
    287,742,404.40/431,613,606.60 = 254,486,007.60/x
  3. Step 3: Cross multiply
    287,742,404.40x = 431,613,606.60 × 254,486,007.60
  4. Step 4: Simplify right side
    287,742,404.40x = 109,839,623,569,471,008
  5. Step 5: Solve for x
    x = 109,839,623,569,471,008/287,742,404.40
  6. Step 6: Final answer
    x = 381,729,011.40

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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.