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Finding the Fourth Proportional to 421,407.12, 581,494.20 and 249,330.36

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Solution

The fourth proportional to 421,407.12, 581,494.20 and 249,330.36 is: 344,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,407.12 : 581,494.20 = 249,330.36 : x
  2. Step 2: Convert to fraction form
    421,407.12/581,494.20 = 249,330.36/x
  3. Step 3: Cross multiply
    421,407.12x = 581,494.20 × 249,330.36
  4. Step 4: Simplify right side
    421,407.12x = 144,984,158,223.91
  5. Step 5: Solve for x
    x = 144,984,158,223.91/421,407.12
  6. Step 6: Final answer
    x = 344,047.72

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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.