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Finding the Fourth Proportional to 978,250,838.60, 1,349,996,861.77 and 532,216,737.56

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Solution

The fourth proportional to 978,250,838.60, 1,349,996,861.77 and 532,216,737.56 is: 734,464,921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,250,838.60 : 1,349,996,861.77 = 532,216,737.56 : x
  2. Step 2: Convert to fraction form
    978,250,838.60/1,349,996,861.77 = 532,216,737.56/x
  3. Step 3: Cross multiply
    978,250,838.60x = 1,349,996,861.77 × 532,216,737.56
  4. Step 4: Simplify right side
    978,250,838.60x = 718,490,925,479,387,136
  5. Step 5: Solve for x
    x = 718,490,925,479,387,136/978,250,838.60
  6. Step 6: Final answer
    x = 734,464,921.61

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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.