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Finding the Fourth Proportional to 507,210.59, 699,830.48 and 300,374.53

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Solution

The fourth proportional to 507,210.59, 699,830.48 and 300,374.53 is: 414,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,210.59 : 699,830.48 = 300,374.53 : x
  2. Step 2: Convert to fraction form
    507,210.59/699,830.48 = 300,374.53/x
  3. Step 3: Cross multiply
    507,210.59x = 699,830.48 × 300,374.53
  4. Step 4: Simplify right side
    507,210.59x = 210,211,250,511.04
  5. Step 5: Solve for x
    x = 210,211,250,511.04/507,210.59
  6. Step 6: Final answer
    x = 414,445.70

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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.