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Finding the Fourth Proportional to 496,328,428.80, 744,492,643.20 and 312,662,419.20

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Solution

The fourth proportional to 496,328,428.80, 744,492,643.20 and 312,662,419.20 is: 468,993,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,328,428.80 : 744,492,643.20 = 312,662,419.20 : x
  2. Step 2: Convert to fraction form
    496,328,428.80/744,492,643.20 = 312,662,419.20/x
  3. Step 3: Cross multiply
    496,328,428.80x = 744,492,643.20 × 312,662,419.20
  4. Step 4: Simplify right side
    496,328,428.80x = 232,774,870,899,514,432
  5. Step 5: Solve for x
    x = 232,774,870,899,514,432/496,328,428.80
  6. Step 6: Final answer
    x = 468,993,628.80

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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.