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Finding the Fourth Proportional to 459,664,005.20, 689,496,007.80 and 287,671,326.80

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Solution

The fourth proportional to 459,664,005.20, 689,496,007.80 and 287,671,326.80 is: 431,506,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,664,005.20 : 689,496,007.80 = 287,671,326.80 : x
  2. Step 2: Convert to fraction form
    459,664,005.20/689,496,007.80 = 287,671,326.80/x
  3. Step 3: Cross multiply
    459,664,005.20x = 689,496,007.80 × 287,671,326.80
  4. Step 4: Simplify right side
    459,664,005.20x = 198,348,231,387,129,152
  5. Step 5: Solve for x
    x = 198,348,231,387,129,152/459,664,005.20
  6. Step 6: Final answer
    x = 431,506,990.20

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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.