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Finding the Fourth Proportional to 611,097.50, 916,671.09 and 291,084.86

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Solution

The fourth proportional to 611,097.50, 916,671.09 and 291,084.86 is: 436,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,097.50 : 916,671.09 = 291,084.86 : x
  2. Step 2: Convert to fraction form
    611,097.50/916,671.09 = 291,084.86/x
  3. Step 3: Cross multiply
    611,097.50x = 916,671.09 × 291,084.86
  4. Step 4: Simplify right side
    611,097.50x = 266,829,075,898.70
  5. Step 5: Solve for x
    x = 266,829,075,898.70/611,097.50
  6. Step 6: Final answer
    x = 436,639.12

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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.