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Finding the Fourth Proportional to 400,413,124.80, 561,384,590.40 and 400,413,124.80

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Solution

The fourth proportional to 400,413,124.80, 561,384,590.40 and 400,413,124.80 is: 561,384,590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,413,124.80 : 561,384,590.40 = 400,413,124.80 : x
  2. Step 2: Convert to fraction form
    400,413,124.80/561,384,590.40 = 400,413,124.80/x
  3. Step 3: Cross multiply
    400,413,124.80x = 561,384,590.40 × 400,413,124.80
  4. Step 4: Simplify right side
    400,413,124.80x = 224,785,758,056,632,064
  5. Step 5: Solve for x
    x = 224,785,758,056,632,064/400,413,124.80
  6. Step 6: Final answer
    x = 561,384,590.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.