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Finding the Fourth Proportional to 569,458.47, 786,008.63 and 354,470.91

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Solution

The fourth proportional to 569,458.47, 786,008.63 and 354,470.91 is: 489,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,458.47 : 786,008.63 = 354,470.91 : x
  2. Step 2: Convert to fraction form
    569,458.47/786,008.63 = 354,470.91/x
  3. Step 3: Cross multiply
    569,458.47x = 786,008.63 × 354,470.91
  4. Step 4: Simplify right side
    569,458.47x = 278,617,192,282.60
  5. Step 5: Solve for x
    x = 278,617,192,282.60/569,458.47
  6. Step 6: Final answer
    x = 489,266.92

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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.