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Finding the Fourth Proportional to 978,721,696.20, 1,350,635,863.86 and 532,688,255.40

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Solution

The fourth proportional to 978,721,696.20, 1,350,635,863.86 and 532,688,255.40 is: 735,109,750.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,721,696.20 : 1,350,635,863.86 = 532,688,255.40 : x
  2. Step 2: Convert to fraction form
    978,721,696.20/1,350,635,863.86 = 532,688,255.40/x
  3. Step 3: Cross multiply
    978,721,696.20x = 1,350,635,863.86 × 532,688,255.40
  4. Step 4: Simplify right side
    978,721,696.20x = 719,467,862,000,255,232
  5. Step 5: Solve for x
    x = 719,467,862,000,255,232/978,721,696.20
  6. Step 6: Final answer
    x = 735,109,750.60

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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.