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Finding the Fourth Proportional to 261,384,339.40, 392,076,509.10 and 261,384,339.40

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Solution

The fourth proportional to 261,384,339.40, 392,076,509.10 and 261,384,339.40 is: 392,076,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,384,339.40 : 392,076,509.10 = 261,384,339.40 : x
  2. Step 2: Convert to fraction form
    261,384,339.40/392,076,509.10 = 261,384,339.40/x
  3. Step 3: Cross multiply
    261,384,339.40x = 392,076,509.10 × 261,384,339.40
  4. Step 4: Simplify right side
    261,384,339.40x = 102,482,659,325,361,600
  5. Step 5: Solve for x
    x = 102,482,659,325,361,600/261,384,339.40
  6. Step 6: Final answer
    x = 392,076,509.10

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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.