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Finding the Fourth Proportional to 521,013.76, 719,037.64 and 291,594.04

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Solution

The fourth proportional to 521,013.76, 719,037.64 and 291,594.04 is: 402,421.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,013.76 : 719,037.64 = 291,594.04 : x
  2. Step 2: Convert to fraction form
    521,013.76/719,037.64 = 291,594.04/x
  3. Step 3: Cross multiply
    521,013.76x = 719,037.64 × 291,594.04
  4. Step 4: Simplify right side
    521,013.76x = 209,667,090,359.67
  5. Step 5: Solve for x
    x = 209,667,090,359.67/521,013.76
  6. Step 6: Final answer
    x = 402,421.41

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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.