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Finding the Fourth Proportional to 780,345, 1,076,963.58 and 440,835.12

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Solution

The fourth proportional to 780,345, 1,076,963.58 and 440,835.12 is: 608,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,345 : 1,076,963.58 = 440,835.12 : x
  2. Step 2: Convert to fraction form
    780,345/1,076,963.58 = 440,835.12/x
  3. Step 3: Cross multiply
    780,345x = 1,076,963.58 × 440,835.12
  4. Step 4: Simplify right side
    780,345x = 474,763,369,024.93
  5. Step 5: Solve for x
    x = 474,763,369,024.93/780,345
  6. Step 6: Final answer
    x = 608,401.89

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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.