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Finding the Fourth Proportional to 525,133.60, 788,650.80 and 459,815.20

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Solution

The fourth proportional to 525,133.60, 788,650.80 and 459,815.20 is: 690,554.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,133.60 : 788,650.80 = 459,815.20 : x
  2. Step 2: Convert to fraction form
    525,133.60/788,650.80 = 459,815.20/x
  3. Step 3: Cross multiply
    525,133.60x = 788,650.80 × 459,815.20
  4. Step 4: Simplify right side
    525,133.60x = 362,633,625,332.16
  5. Step 5: Solve for x
    x = 362,633,625,332.16/525,133.60
  6. Step 6: Final answer
    x = 690,554.99

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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.