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Finding the Fourth Proportional to 469,892,515.20, 704,838,772.80 and 400,356,412.80

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Solution

The fourth proportional to 469,892,515.20, 704,838,772.80 and 400,356,412.80 is: 600,534,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,892,515.20 : 704,838,772.80 = 400,356,412.80 : x
  2. Step 2: Convert to fraction form
    469,892,515.20/704,838,772.80 = 400,356,412.80/x
  3. Step 3: Cross multiply
    469,892,515.20x = 704,838,772.80 × 400,356,412.80
  4. Step 4: Simplify right side
    469,892,515.20x = 282,186,722,680,562,208
  5. Step 5: Solve for x
    x = 282,186,722,680,562,208/469,892,515.20
  6. Step 6: Final answer
    x = 600,534,619.20

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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.