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Finding the Fourth Proportional to 978,241,302.05, 1,349,978,867.57 and 532,207,864.94

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Solution

The fourth proportional to 978,241,302.05, 1,349,978,867.57 and 532,207,864.94 is: 734,450,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,241,302.05 : 1,349,978,867.57 = 532,207,864.94 : x
  2. Step 2: Convert to fraction form
    978,241,302.05/1,349,978,867.57 = 532,207,864.94/x
  3. Step 3: Cross multiply
    978,241,302.05x = 1,349,978,867.57 × 532,207,864.94
  4. Step 4: Simplify right side
    978,241,302.05x = 718,469,370,818,129,280
  5. Step 5: Solve for x
    x = 718,469,370,818,129,280/978,241,302.05
  6. Step 6: Final answer
    x = 734,450,047.57

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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.