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Finding the Fourth Proportional to 429,802.68, 645,288.66 and 296,352.12

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Solution

The fourth proportional to 429,802.68, 645,288.66 and 296,352.12 is: 444,931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,802.68 : 645,288.66 = 296,352.12 : x
  2. Step 2: Convert to fraction form
    429,802.68/645,288.66 = 296,352.12/x
  3. Step 3: Cross multiply
    429,802.68x = 645,288.66 × 296,352.12
  4. Step 4: Simplify right side
    429,802.68x = 191,232,662,402.96
  5. Step 5: Solve for x
    x = 191,232,662,402.96/429,802.68
  6. Step 6: Final answer
    x = 444,931.29

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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.