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Finding the Fourth Proportional to 509,762.56, 703,490 and 280,329.24

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Solution

The fourth proportional to 509,762.56, 703,490 and 280,329.24 is: 386,864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,762.56 : 703,490 = 280,329.24 : x
  2. Step 2: Convert to fraction form
    509,762.56/703,490 = 280,329.24/x
  3. Step 3: Cross multiply
    509,762.56x = 703,490 × 280,329.24
  4. Step 4: Simplify right side
    509,762.56x = 197,208,817,047.60
  5. Step 5: Solve for x
    x = 197,208,817,047.60/509,762.56
  6. Step 6: Final answer
    x = 386,864.07

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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.