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Finding the Fourth Proportional to 520,564.76, 718,416 and 291,143.40

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Solution

The fourth proportional to 520,564.76, 718,416 and 291,143.40 is: 401,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,564.76 : 718,416 = 291,143.40 : x
  2. Step 2: Convert to fraction form
    520,564.76/718,416 = 291,143.40/x
  3. Step 3: Cross multiply
    520,564.76x = 718,416 × 291,143.40
  4. Step 4: Simplify right side
    520,564.76x = 209,162,074,160.34
  5. Step 5: Solve for x
    x = 209,162,074,160.34/520,564.76
  6. Step 6: Final answer
    x = 401,798.38

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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.