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Finding the Fourth Proportional to 419,162.52, 578,354.58 and 249,363.48

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Solution

The fourth proportional to 419,162.52, 578,354.58 and 249,363.48 is: 344,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,162.52 : 578,354.58 = 249,363.48 : x
  2. Step 2: Convert to fraction form
    419,162.52/578,354.58 = 249,363.48/x
  3. Step 3: Cross multiply
    419,162.52x = 578,354.58 × 249,363.48
  4. Step 4: Simplify right side
    419,162.52x = 144,220,510,742.74
  5. Step 5: Solve for x
    x = 144,220,510,742.74/419,162.52
  6. Step 6: Final answer
    x = 344,068.24

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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.