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Finding the Fourth Proportional to 421,432.96, 581,529.72 and 249,356.20

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Solution

The fourth proportional to 421,432.96, 581,529.72 and 249,356.20 is: 344,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,432.96 : 581,529.72 = 249,356.20 : x
  2. Step 2: Convert to fraction form
    421,432.96/581,529.72 = 249,356.20/x
  3. Step 3: Cross multiply
    421,432.96x = 581,529.72 × 249,356.20
  4. Step 4: Simplify right side
    421,432.96x = 145,008,041,166.26
  5. Step 5: Solve for x
    x = 145,008,041,166.26/421,432.96
  6. Step 6: Final answer
    x = 344,083.29

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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.