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Finding the Fourth Proportional to 413,384,767.80, 620,077,151.70 and 410,514,986.40

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Solution

The fourth proportional to 413,384,767.80, 620,077,151.70 and 410,514,986.40 is: 615,772,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,384,767.80 : 620,077,151.70 = 410,514,986.40 : x
  2. Step 2: Convert to fraction form
    413,384,767.80/620,077,151.70 = 410,514,986.40/x
  3. Step 3: Cross multiply
    413,384,767.80x = 620,077,151.70 × 410,514,986.40
  4. Step 4: Simplify right side
    413,384,767.80x = 254,550,963,497,076,256
  5. Step 5: Solve for x
    x = 254,550,963,497,076,256/413,384,767.80
  6. Step 6: Final answer
    x = 615,772,479.60

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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.