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Finding the Fourth Proportional to 577,021.44, 864,357.12 and 470,784

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Solution

The fourth proportional to 577,021.44, 864,357.12 and 470,784 is: 705,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,021.44 : 864,357.12 = 470,784 : x
  2. Step 2: Convert to fraction form
    577,021.44/864,357.12 = 470,784/x
  3. Step 3: Cross multiply
    577,021.44x = 864,357.12 × 470,784
  4. Step 4: Simplify right side
    577,021.44x = 406,925,502,382.08
  5. Step 5: Solve for x
    x = 406,925,502,382.08/577,021.44
  6. Step 6: Final answer
    x = 705,217.30

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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.