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Finding the Fourth Proportional to 659,896,216.80, 990,411,195.60 and 291,997,327.20

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Solution

The fourth proportional to 659,896,216.80, 990,411,195.60 and 291,997,327.20 is: 438,246,825.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,896,216.80 : 990,411,195.60 = 291,997,327.20 : x
  2. Step 2: Convert to fraction form
    659,896,216.80/990,411,195.60 = 291,997,327.20/x
  3. Step 3: Cross multiply
    659,896,216.80x = 990,411,195.60 × 291,997,327.20
  4. Step 4: Simplify right side
    659,896,216.80x = 289,197,421,944,156,416
  5. Step 5: Solve for x
    x = 289,197,421,944,156,416/659,896,216.80
  6. Step 6: Final answer
    x = 438,246,825.15

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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.