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Finding the Fourth Proportional to 415,907.85, 623,861.85 and 100,364.76

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Solution

The fourth proportional to 415,907.85, 623,861.85 and 100,364.76 is: 150,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,907.85 : 623,861.85 = 100,364.76 : x
  2. Step 2: Convert to fraction form
    415,907.85/623,861.85 = 100,364.76/x
  3. Step 3: Cross multiply
    415,907.85x = 623,861.85 × 100,364.76
  4. Step 4: Simplify right side
    415,907.85x = 62,613,744,848.41
  5. Step 5: Solve for x
    x = 62,613,744,848.41/415,907.85
  6. Step 6: Final answer
    x = 150,547.16

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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.