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Finding the Fourth Proportional to 421,360.59, 632,038.46 and 140,875.41

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Solution

The fourth proportional to 421,360.59, 632,038.46 and 140,875.41 is: 211,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,360.59 : 632,038.46 = 140,875.41 : x
  2. Step 2: Convert to fraction form
    421,360.59/632,038.46 = 140,875.41/x
  3. Step 3: Cross multiply
    421,360.59x = 632,038.46 × 140,875.41
  4. Step 4: Simplify right side
    421,360.59x = 89,038,676,483.89
  5. Step 5: Solve for x
    x = 89,038,676,483.89/421,360.59
  6. Step 6: Final answer
    x = 211,312.30

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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.