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Finding the Fourth Proportional to 463,181.58, 640,599.30 and 415,417.50

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Solution

The fourth proportional to 463,181.58, 640,599.30 and 415,417.50 is: 574,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,181.58 : 640,599.30 = 415,417.50 : x
  2. Step 2: Convert to fraction form
    463,181.58/640,599.30 = 415,417.50/x
  3. Step 3: Cross multiply
    463,181.58x = 640,599.30 × 415,417.50
  4. Step 4: Simplify right side
    463,181.58x = 266,116,159,707.75
  5. Step 5: Solve for x
    x = 266,116,159,707.75/463,181.58
  6. Step 6: Final answer
    x = 574,539.60

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1.5x scale

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.