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Finding the Fourth Proportional to 528,234.04, 728,958.72 and 286,516

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Solution

The fourth proportional to 528,234.04, 728,958.72 and 286,516 is: 395,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,234.04 : 728,958.72 = 286,516 : x
  2. Step 2: Convert to fraction form
    528,234.04/728,958.72 = 286,516/x
  3. Step 3: Cross multiply
    528,234.04x = 728,958.72 × 286,516
  4. Step 4: Simplify right side
    528,234.04x = 208,858,336,619.52
  5. Step 5: Solve for x
    x = 208,858,336,619.52/528,234.04
  6. Step 6: Final answer
    x = 395,389.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.