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Finding the Fourth Proportional to 502,804.40, 754,206.60 and 414,230.90

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Solution

The fourth proportional to 502,804.40, 754,206.60 and 414,230.90 is: 621,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,804.40 : 754,206.60 = 414,230.90 : x
  2. Step 2: Convert to fraction form
    502,804.40/754,206.60 = 414,230.90/x
  3. Step 3: Cross multiply
    502,804.40x = 754,206.60 × 414,230.90
  4. Step 4: Simplify right side
    502,804.40x = 312,415,678,703.94
  5. Step 5: Solve for x
    x = 312,415,678,703.94/502,804.40
  6. Step 6: Final answer
    x = 621,346.35

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Similar ratio
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1.5x scale

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.