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Finding the Fourth Proportional to 402,776,551.80, 604,463,426.10 and 266,416,615.80

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Solution

The fourth proportional to 402,776,551.80, 604,463,426.10 and 266,416,615.80 is: 399,822,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,776,551.80 : 604,463,426.10 = 266,416,615.80 : x
  2. Step 2: Convert to fraction form
    402,776,551.80/604,463,426.10 = 266,416,615.80/x
  3. Step 3: Cross multiply
    402,776,551.80x = 604,463,426.10 × 266,416,615.80
  4. Step 4: Simplify right side
    402,776,551.80x = 161,039,100,356,435,392
  5. Step 5: Solve for x
    x = 161,039,100,356,435,392/402,776,551.80
  6. Step 6: Final answer
    x = 399,822,431.66

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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.