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Finding the Fourth Proportional to 413,416,101.80, 620,124,152.70 and 357,295,932.20

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Solution

The fourth proportional to 413,416,101.80, 620,124,152.70 and 357,295,932.20 is: 535,943,898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,416,101.80 : 620,124,152.70 = 357,295,932.20 : x
  2. Step 2: Convert to fraction form
    413,416,101.80/620,124,152.70 = 357,295,932.20/x
  3. Step 3: Cross multiply
    413,416,101.80x = 620,124,152.70 × 357,295,932.20
  4. Step 4: Simplify right side
    413,416,101.80x = 221,567,837,218,681,664
  5. Step 5: Solve for x
    x = 221,567,837,218,681,664/413,416,101.80
  6. Step 6: Final answer
    x = 535,943,898.30

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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.