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Finding the Fourth Proportional to 509,164.80, 711,897.60 and 509,164.80

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Solution

The fourth proportional to 509,164.80, 711,897.60 and 509,164.80 is: 711,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,164.80 : 711,897.60 = 509,164.80 : x
  2. Step 2: Convert to fraction form
    509,164.80/711,897.60 = 509,164.80/x
  3. Step 3: Cross multiply
    509,164.80x = 711,897.60 × 509,164.80
  4. Step 4: Simplify right side
    509,164.80x = 362,473,199,124.48
  5. Step 5: Solve for x
    x = 362,473,199,124.48/509,164.80
  6. Step 6: Final answer
    x = 711,897.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.