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Finding the Fourth Proportional to 523,661,842.85, 723,343,154.94 and 388,146,798.14

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Solution

The fourth proportional to 523,661,842.85, 723,343,154.94 and 388,146,798.14 is: 536,153,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,661,842.85 : 723,343,154.94 = 388,146,798.14 : x
  2. Step 2: Convert to fraction form
    523,661,842.85/723,343,154.94 = 388,146,798.14/x
  3. Step 3: Cross multiply
    523,661,842.85x = 723,343,154.94 × 388,146,798.14
  4. Step 4: Simplify right side
    523,661,842.85x = 280,763,329,542,830,208
  5. Step 5: Solve for x
    x = 280,763,329,542,830,208/523,661,842.85
  6. Step 6: Final answer
    x = 536,153,881.32

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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.