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Finding the Fourth Proportional to 523,056.72, 784,585.08 and 149,070

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Solution

The fourth proportional to 523,056.72, 784,585.08 and 149,070 is: 223,605

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,056.72 : 784,585.08 = 149,070 : x
  2. Step 2: Convert to fraction form
    523,056.72/784,585.08 = 149,070/x
  3. Step 3: Cross multiply
    523,056.72x = 784,585.08 × 149,070
  4. Step 4: Simplify right side
    523,056.72x = 116,958,097,875.60
  5. Step 5: Solve for x
    x = 116,958,097,875.60/523,056.72
  6. Step 6: Final answer
    x = 223,605

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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.