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Finding the Fourth Proportional to 509,378.93, 702,901.80 and 294,532.91

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Solution

The fourth proportional to 509,378.93, 702,901.80 and 294,532.91 is: 406,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,378.93 : 702,901.80 = 294,532.91 : x
  2. Step 2: Convert to fraction form
    509,378.93/702,901.80 = 294,532.91/x
  3. Step 3: Cross multiply
    509,378.93x = 702,901.80 × 294,532.91
  4. Step 4: Simplify right side
    509,378.93x = 207,027,711,719.61
  5. Step 5: Solve for x
    x = 207,027,711,719.61/509,378.93
  6. Step 6: Final answer
    x = 406,431.64

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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.