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Finding the Fourth Proportional to 519,520,998.88, 716,739,421.80 and 296,515,058.32

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Solution

The fourth proportional to 519,520,998.88, 716,739,421.80 and 296,515,058.32 is: 409,076,884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,520,998.88 : 716,739,421.80 = 296,515,058.32 : x
  2. Step 2: Convert to fraction form
    519,520,998.88/716,739,421.80 = 296,515,058.32/x
  3. Step 3: Cross multiply
    519,520,998.88x = 716,739,421.80 × 296,515,058.32
  4. Step 4: Simplify right side
    519,520,998.88x = 212,524,031,455,270,048
  5. Step 5: Solve for x
    x = 212,524,031,455,270,048/519,520,998.88
  6. Step 6: Final answer
    x = 409,076,884.12

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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.