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Finding the Fourth Proportional to 702,538,835.04, 969,502,641.36 and 389,293,334.64

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Solution

The fourth proportional to 702,538,835.04, 969,502,641.36 and 389,293,334.64 is: 537,224,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,538,835.04 : 969,502,641.36 = 389,293,334.64 : x
  2. Step 2: Convert to fraction form
    702,538,835.04/969,502,641.36 = 389,293,334.64/x
  3. Step 3: Cross multiply
    702,538,835.04x = 969,502,641.36 × 389,293,334.64
  4. Step 4: Simplify right side
    702,538,835.04x = 377,420,916,197,322,368
  5. Step 5: Solve for x
    x = 377,420,916,197,322,368/702,538,835.04
  6. Step 6: Final answer
    x = 537,224,274.83

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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.