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Finding the Fourth Proportional to 896,814,618.78, 1,237,604,944.47 and 500,337,669.84

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Solution

The fourth proportional to 896,814,618.78, 1,237,604,944.47 and 500,337,669.84 is: 690,466,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,814,618.78 : 1,237,604,944.47 = 500,337,669.84 : x
  2. Step 2: Convert to fraction form
    896,814,618.78/1,237,604,944.47 = 500,337,669.84/x
  3. Step 3: Cross multiply
    896,814,618.78x = 1,237,604,944.47 × 500,337,669.84
  4. Step 4: Simplify right side
    896,814,618.78x = 619,220,374,098,582,400
  5. Step 5: Solve for x
    x = 619,220,374,098,582,400/896,814,618.78
  6. Step 6: Final answer
    x = 690,466,414.28

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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.