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Finding the Fourth Proportional to 977,662,978, 1,349,200,479.54 and 531,652,426.76

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Solution

The fourth proportional to 977,662,978, 1,349,200,479.54 and 531,652,426.76 is: 733,694,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,662,978 : 1,349,200,479.54 = 531,652,426.76 : x
  2. Step 2: Convert to fraction form
    977,662,978/1,349,200,479.54 = 531,652,426.76/x
  3. Step 3: Cross multiply
    977,662,978x = 1,349,200,479.54 × 531,652,426.76
  4. Step 4: Simplify right side
    977,662,978x = 717,305,709,133,196,672
  5. Step 5: Solve for x
    x = 717,305,709,133,196,672/977,662,978
  6. Step 6: Final answer
    x = 733,694,253.82

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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.