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Finding the Fourth Proportional to 523,130.77, 784,703.45 and 149,153.77

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Solution

The fourth proportional to 523,130.77, 784,703.45 and 149,153.77 is: 223,732.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,130.77 : 784,703.45 = 149,153.77 : x
  2. Step 2: Convert to fraction form
    523,130.77/784,703.45 = 149,153.77/x
  3. Step 3: Cross multiply
    523,130.77x = 784,703.45 × 149,153.77
  4. Step 4: Simplify right side
    523,130.77x = 117,041,477,899.51
  5. Step 5: Solve for x
    x = 117,041,477,899.51/523,130.77
  6. Step 6: Final answer
    x = 223,732.73

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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.