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Finding the Fourth Proportional to 978,721,568.93, 1,468,219,962.17 and 314,512,907.40

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Solution

The fourth proportional to 978,721,568.93, 1,468,219,962.17 and 314,512,907.40 is: 471,813,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,721,568.93 : 1,468,219,962.17 = 314,512,907.40 : x
  2. Step 2: Convert to fraction form
    978,721,568.93/1,468,219,962.17 = 314,512,907.40/x
  3. Step 3: Cross multiply
    978,721,568.93x = 1,468,219,962.17 × 314,512,907.40
  4. Step 4: Simplify right side
    978,721,568.93x = 461,774,129,005,590,912
  5. Step 5: Solve for x
    x = 461,774,129,005,590,912/978,721,568.93
  6. Step 6: Final answer
    x = 471,813,581.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.