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Finding the Fourth Proportional to 523,309,213.80, 784,963,820.70 and 360,050,538.60

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Solution

The fourth proportional to 523,309,213.80, 784,963,820.70 and 360,050,538.60 is: 540,075,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,309,213.80 : 784,963,820.70 = 360,050,538.60 : x
  2. Step 2: Convert to fraction form
    523,309,213.80/784,963,820.70 = 360,050,538.60/x
  3. Step 3: Cross multiply
    523,309,213.80x = 784,963,820.70 × 360,050,538.60
  4. Step 4: Simplify right side
    523,309,213.80x = 282,626,646,424,548,864
  5. Step 5: Solve for x
    x = 282,626,646,424,548,864/523,309,213.80
  6. Step 6: Final answer
    x = 540,075,807.90

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1.5x scale

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.