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Finding the Fourth Proportional to 524,509,657.08, 723,804,366.72 and 289,555,282.68

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Solution

The fourth proportional to 524,509,657.08, 723,804,366.72 and 289,555,282.68 is: 399,575,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,509,657.08 : 723,804,366.72 = 289,555,282.68 : x
  2. Step 2: Convert to fraction form
    524,509,657.08/723,804,366.72 = 289,555,282.68/x
  3. Step 3: Cross multiply
    524,509,657.08x = 723,804,366.72 × 289,555,282.68
  4. Step 4: Simplify right side
    524,509,657.08x = 209,581,378,010,628,000
  5. Step 5: Solve for x
    x = 209,581,378,010,628,000/524,509,657.08
  6. Step 6: Final answer
    x = 399,575,823.21

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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.