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Finding the Fourth Proportional to 413,534, 570,404.76 and 298,621.28

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Solution

The fourth proportional to 413,534, 570,404.76 and 298,621.28 is: 411,900.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,534 : 570,404.76 = 298,621.28 : x
  2. Step 2: Convert to fraction form
    413,534/570,404.76 = 298,621.28/x
  3. Step 3: Cross multiply
    413,534x = 570,404.76 × 298,621.28
  4. Step 4: Simplify right side
    413,534x = 170,334,999,549.29
  5. Step 5: Solve for x
    x = 170,334,999,549.29/413,534
  6. Step 6: Final answer
    x = 411,900.83

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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.