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Finding the Fourth Proportional to 978,277,913.24, 1,349,508,968.16 and 581,518,691.24

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Solution

The fourth proportional to 978,277,913.24, 1,349,508,968.16 and 581,518,691.24 is: 802,189,928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,277,913.24 : 1,349,508,968.16 = 581,518,691.24 : x
  2. Step 2: Convert to fraction form
    978,277,913.24/1,349,508,968.16 = 581,518,691.24/x
  3. Step 3: Cross multiply
    978,277,913.24x = 1,349,508,968.16 × 581,518,691.24
  4. Step 4: Simplify right side
    978,277,913.24x = 784,764,688,981,046,144
  5. Step 5: Solve for x
    x = 784,764,688,981,046,144/978,277,913.24
  6. Step 6: Final answer
    x = 802,189,928.20

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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.