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Finding the Fourth Proportional to 291,381,661.80, 437,072,492.70 and 146,262,839.40

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Solution

The fourth proportional to 291,381,661.80, 437,072,492.70 and 146,262,839.40 is: 219,394,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,381,661.80 : 437,072,492.70 = 146,262,839.40 : x
  2. Step 2: Convert to fraction form
    291,381,661.80/437,072,492.70 = 146,262,839.40/x
  3. Step 3: Cross multiply
    291,381,661.80x = 437,072,492.70 × 146,262,839.40
  4. Step 4: Simplify right side
    291,381,661.80x = 63,927,463,805,937,776
  5. Step 5: Solve for x
    x = 63,927,463,805,937,776/291,381,661.80
  6. Step 6: Final answer
    x = 219,394,259.10

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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.