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Finding the Fourth Proportional to 472,393,376.80, 708,590,065.20 and 432,216,437.20

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Solution

The fourth proportional to 472,393,376.80, 708,590,065.20 and 432,216,437.20 is: 648,324,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,376.80 : 708,590,065.20 = 432,216,437.20 : x
  2. Step 2: Convert to fraction form
    472,393,376.80/708,590,065.20 = 432,216,437.20/x
  3. Step 3: Cross multiply
    472,393,376.80x = 708,590,065.20 × 432,216,437.20
  4. Step 4: Simplify right side
    472,393,376.80x = 306,264,273,416,059,712
  5. Step 5: Solve for x
    x = 306,264,273,416,059,712/472,393,376.80
  6. Step 6: Final answer
    x = 648,324,655.80

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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.