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Finding the Fourth Proportional to 656,854,975.74, 906,462,268.02 and 355,440,288.90

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Solution

The fourth proportional to 656,854,975.74, 906,462,268.02 and 355,440,288.90 is: 490,508,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,854,975.74 : 906,462,268.02 = 355,440,288.90 : x
  2. Step 2: Convert to fraction form
    656,854,975.74/906,462,268.02 = 355,440,288.90/x
  3. Step 3: Cross multiply
    656,854,975.74x = 906,462,268.02 × 355,440,288.90
  4. Step 4: Simplify right side
    656,854,975.74x = 322,193,210,421,977,984
  5. Step 5: Solve for x
    x = 322,193,210,421,977,984/656,854,975.74
  6. Step 6: Final answer
    x = 490,508,898.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.